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Derivative Instruments - Effect of Derivative Instruments on Statements of Income and Expenses (Detail) - USD ($)
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Derivative Instruments Gain Loss [Line Items]    
Futures contracts, realized gain (loss) $ 121,185,479 $ 68,206,899
Futures contracts, unrealized gain (loss) 649,699,524 109,968,339
Commodity Futures Contract [Member] | Not Designated as Hedging Instrument [Member]    
Derivative Instruments Gain Loss [Line Items]    
Futures contracts, realized gain (loss) 121,185,479 68,206,899
Futures contracts, unrealized gain (loss) 649,699,524 109,968,339
Net Realized and Net Change in Unrealized Gain (Loss) $ 770,885,003 $ 178,175,238