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Number of zeroes at the end of 99^(1001)...

Number of zeroes at the end of `99^(1001)+1`?

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`(100-1)^(1001)+1`
`(-1101*1000)/2*(100)^2+1001*100-1+1`
`-1001*500*(100)^2+100100-1+1`
`100100`
Number of zero at the end=2.
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