Question

Observe the following pattern and find the missing digits.
$11^2$ = $121$
$101^2$ = $10201$
$1001^2 = 1002001$
$100001^2 = 1…2…1$
$10000001^2 = …$

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,
$100001^2 = 10000200001$
$10000001^2= 100000020000001$