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=..............`

Explanation

From the given pattern we
see that the square of the
given number has the same number of zeros
before and after digit 2 as it is present in the original number.
`11^2 =121`
`101^2 = 10201`
`1001^2=1002001`
`100001^2=10000200001`
`10000001^2=100000020000001`