102111110100 has 54 divisors (see below), whose sum is σ = 320061604590. Its totient is φ = 27229629120.

The previous prime is 102111110099. The next prime is 102111110161. The reversal of 102111110100 is 1011111201.

It can be written as a sum of positive squares in 3 ways, for example, as 5447325636 + 96663784464 = 73806^2 + 310908^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56727495 + ... + 56729294.

Almost surely, 2^102111110100 is an apocalyptic number.

102111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111110100 is an abundant number, since it is smaller than the sum of its proper divisors (217950494490).

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

102111110100 is a wasteful number, since it uses less digits than its factorization.

102111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113456809 (or 113456799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102111110100 its reverse (1011111201), we get a palindrome (103122221301).

The spelling of 102111110100 in words is "one hundred two billion, one hundred eleven million, one hundred ten thousand, one hundred".