102112031032110 has 144 divisors (see below), whose sum is σ = 292187168608608. Its totient is φ = 24723370151040.

The previous prime is 102112031032097. The next prime is 102112031032163. The reversal of 102112031032110 is 11230130211201.

102112031032110 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 20 + 310 + 321 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2796847 + ... + 14561813.

It is an arithmetic number, because the mean of its divisors is an integer number (2029077559782).

Almost surely, 2^{102112031032110} is an apocalyptic number.

102112031032110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112031032110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146093584304304).

102112031032110 is an abundant number, since it is smaller than the sum of its proper divisors (190075137576498).

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

102112031032110 is a wasteful number, since it uses less digits than its factorization.

102112031032110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765799 (or 11765785 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102112031032110 its reverse (11230130211201), we get a palindrome (113342161243311).

The spelling of 102112031032110 in words is "one hundred two trillion, one hundred twelve billion, thirty-one million, thirty-two thousand, one hundred ten".