Related Party Transactions (Details Narrative) - USD ($) $ in Thousands	3 Months Ended
Mar. 31, 2022	Mar. 31, 2021
Related Party Transaction [Line Items]
Advisor fees paid	$ 268	$ 336
Interest income from related parties	$ 1,252	1,218
May Realty Holdings, Inc. [Member] \| American Realty Investors, Inc.
Related Party Transaction [Line Items]
Percentage of ownership	90.80%
American Realty Investors, Inc. [Member] \| Transcontinental Realty Investors, Inc. [Member]
Related Party Transaction [Line Items]
Percentage of ownership	78.40%
Transcontinental Realty Investors Inc [Member]
Related Party Transaction [Line Items]
Percentage of ownership	81.10%
Interest income from related parties	$ 921	857
Pillar [Member]
Related Party Transaction [Line Items]
Advisor fees paid	268	336
Unified Housing Foundation, Inc. [Member]
Related Party Transaction [Line Items]
Interest income from related parties	$ 331	$ 361

The amount of advisory fees to related parties, during the period.

No definition available.

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Namespace Prefix:	ior_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The percentage of ownership of common stock or equity participation in the investee accounted for under the equity method of accounting.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 323
-SubTopic 10
-Section 50
-Paragraph 3
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=114001798&loc=d3e33918-111571

+ Details

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- Definition

Amount of interest income earned from interest-bearing assets owed to the entity by related party.

+ References

No definition available.

+ Details

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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- Details

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- Details

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- Details

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- Details

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- Details

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- Details

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- Details

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