102112401314232 has 64 divisors (see below), whose sum is σ = 283646966457600. Its totient is φ = 34037298234720.

The previous prime is 102112401314177. The next prime is 102112401314291. The reversal of 102112401314232 is 232413104211201.

102112401314232 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 12 + 401 + 3 + 14 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102112401314196 and 102112401314205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47043357 + ... + 49166067.

It is an arithmetic number, because the mean of its divisors is an integer number (4431983850900).

Almost surely, 2^{102112401314232} is an apocalyptic number.

102112401314232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112401314232 is an abundant number, since it is smaller than the sum of its proper divisors (181534565143368).

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

102112401314232 is a wasteful number, since it uses less digits than its factorization.

102112401314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345433 (or 2345423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102112401314232 its reverse (232413104211201), we get a palindrome (334525505525433).

The spelling of 102112401314232 in words is "one hundred two trillion, one hundred twelve billion, four hundred one million, three hundred fourteen thousand, two hundred thirty-two".