111,111,111 x 111,111,111 = 12,345,678,987,654,321, which is a palindrome (read the same forward and backward).
The result of the 111,111,111 multiplied by itself result in a palindrome, which converges in the middle of answer at 9. I am obviously not brilliant at math, so show some compassion in responding to the question, with which I will conclude my comment. This is a true palindrome by definition, is it a palindrome by mathematical principles? Thank you