Question

Observe the following pattern and find the missing digits.

11² = 121

101² = 10201

1001² = 1002001

100001² = 1 ______ 2 ______ 1

10000001² = ______

Answer 1

In the given pattern, it can be observed that the squares of the given numbers have the same number of zeroes before and after the digit 2 as it was in the original number. Therefore

100001² = 10000200001

10000001² = 100000020000001