102111120111100 has 72 divisors (see below), whose sum is σ = 223181400285200. Its totient is φ = 40549483699200.

The previous prime is 102111120111083. The next prime is 102111120111107. The reversal of 102111120111100 is 1111021111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111120111107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656294116 + ... + 656449684.

Almost surely, 2^{102111120111100} is an apocalyptic number.

102111120111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111120111100 is an abundant number, since it is smaller than the sum of its proper divisors (121070280174100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111120111100 is a wasteful number, since it uses less digits than its factorization.

102111120111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202943 (or 202936 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102111120111100 its reverse (1111021111201), we get a palindrome (103222141222301).

The spelling of 102111120111100 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty million, one hundred eleven thousand, one hundred".