11111...11113 (221-digits)

This number is a probable-prime (likely to be a prime but we have not (re-)proven it on this site).

                                                                1 1111111111
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111113

The smallest near-repunit prime p greater than a googol has a sum of digits equal to the prime 223. [Bajpai]