Answer
$2^{100}$ - 101
Work Step by Step
Total number of subset of a set with 100 elements = $2^{100}$
This is because we can either include or exclude an element from the subset.
Subset with 1 element = 100
Subset with 0 element = 1
Total subset with more than 1 element = $2^{100}$ - 100 - 1 = $2^{100}$ - 101
