102131101012332 has 48 divisors (see below), whose sum is σ = 272884670795520. Its totient is φ = 29122985850432.

The previous prime is 102131101012327. The next prime is 102131101012337. The reversal of 102131101012332 is 233210101131201.

It is an interprime number because it is at equal distance from previous prime (102131101012327) and next prime (102131101012337).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102131101012299 and 102131101012308.

It is not an unprimeable number, because it can be changed into a prime (102131101012337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194305418 + ... + 1194390929.

It is an arithmetic number, because the mean of its divisors is an integer number (5685097308240).

Almost surely, 2^{102131101012332} is an apocalyptic number.

102131101012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131101012332 is an abundant number, since it is smaller than the sum of its proper divisors (170753569783188).

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

102131101012332 is a wasteful number, since it uses less digits than its factorization.

102131101012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388696870 (or 2388696868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102131101012332 its reverse (233210101131201), we get a palindrome (335341202143533).

The spelling of 102131101012332 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred one million, twelve thousand, three hundred thirty-two".