Loans and Allowance for Loan Losses - Schedule of Loans not Meeting the Criteria are Analyzed Individually are considered to be Pass Rated Loans, Based on the Most Recent Analysis Performed, the Risk Category of Loans by Class of Loans (Detail) - USD ($)	Mar. 31, 2022	Dec. 31, 2021
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	$ 273,600,012	$ 271,387,143
Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,314,367	1,373,761
Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	13,490,067	15,900,097
Pass [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	261,528,476	254,288,288
Pass [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,314,367	1,373,761
Pass [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	13,490,067	15,900,097
Special Mention [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	7,746,703	12,760,457
Special Mention [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Special Mention [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Substandard [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	4,324,833	4,338,398
Substandard [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Substandard [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross		0
Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Doubtful [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Doubtful [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross		0
Real Estate [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	258,795,578	254,113,285
Real Estate [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	102,034,477	98,433,124
Real Estate [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	11,467,709	11,510,661
Real Estate [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	19,950,041	19,937,187
Real Estate [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	95,384,937	89,830,611
Real Estate [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	29,958,414	34,401,702
Real Estate [Member] | Pass [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	246,724,042	237,014,430
Real Estate [Member] | Pass [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	100,473,930	95,421,741
Real Estate [Member] | Pass [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	11,467,709	11,510,661
Real Estate [Member] | Pass [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	19,950,041	19,937,187
Real Estate [Member] | Pass [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	87,894,860	78,797,687
Real Estate [Member] | Pass [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	26,937,502	31,347,154
Real Estate [Member] | Special Mention [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	7,746,703	12,760,457
Real Estate [Member] | Special Mention [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	223,024	1,764,789
Real Estate [Member] | Special Mention [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Special Mention [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Special Mention [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	4,634,029	8,075,262
Real Estate [Member] | Special Mention [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	2,889,650	2,920,406
Real Estate [Member] | Substandard [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	4,324,833	4,338,398
Real Estate [Member] | Substandard [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,337,523	1,246,594
Real Estate [Member] | Substandard [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Substandard [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Substandard [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	2,856,048	2,957,662
Real Estate [Member] | Substandard [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	131,262	134,142
Real Estate [Member] | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	$ 0	$ 0