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Additional Valuation Information - Summary of the Tiered Valuation Input Levels (Detail) - USD ($)
Mar. 31, 2022
Dec. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations $ 679,086,621 $ 622,017,111
Exchange-Traded Fund 192,723,745 192,860,687
Money Market Mutual Fund 3,109,688,290 1,811,356,075
Total Investments in Securities 3,981,498,656 2,626,233,873
Commodity Futures Contracts, Appreciation 817,235,195 166,506,279
Commodity Futures Contracts, Depreciation (4,166,897) (3,137,505)
Commodity Futures Contracts 813,068,298 163,368,774
Total Investments 4,794,566,954 2,789,602,647
Level 1 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Exchange-Traded Fund 192,723,745 192,860,687
Money Market Mutual Fund 3,109,688,290 1,811,356,075
Total Investments in Securities 3,302,412,035 2,004,216,762
Commodity Futures Contracts, Appreciation 817,235,195 166,506,279
Commodity Futures Contracts, Depreciation (4,166,897) (3,137,505)
Commodity Futures Contracts 813,068,298 163,368,774
Total Investments 4,115,480,333 2,167,585,536
Level 2 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
United States Treasury Obligations 679,086,621 622,017,111
Total Investments in Securities 679,086,621 622,017,111
Total Investments $ 679,086,621 $ 622,017,111