10010...00109 (186-digits)

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

                          100109 1001091001 0910012910 0129100129 1001511001
5110015110 0153100153 1001531001 6910016910 0169100183 1001691001 6910016910
0153100153 1001531001 5110015110 0151100129 1001291001 2910010910 0109100109

The smallest prime greater than a googol formed from the concatenation of n consecutive n-digit primes in the pattern {a, a, a, b, b, b, c, c, c, d, d, d, e, e, e, f, e, e, e, d, d, d, c, c, c, b, b, b, a, a, a}, i.e., {100109, 100109, 100109, 100129, 100129, 100129, 100151, 100151, 100151, 100153, 100153, 100153, 100169, 100169, 100169, 100183, 100169, 100169, 100169, 100153, 100153, 100153, 100151, 100151, 100151, 100129, 100129, 100129, 100109, 100109, 100109}, (case n=6). [Bajpai]