Sweet Building

An army of worker ants was carrying sugar cubes back into their colony. In there, the ants put 1 sugar cube into the first room, 2 into the second, 4 into the third, and doubling the amount so on until the 101th101^\text{th} room.

Then the queen ant decided to build bigger cubic blocks of 5×5×55\times 5\times 5 sugar cubes from all they had previously collected. How many sugar cubes would remain after all these build-ups?

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