102131111132000 has 96 divisors (see below), whose sum is σ = 259030854561024. Its totient is φ = 39534623616000.

The previous prime is 102131111131999. The next prime is 102131111132009. The reversal of 102131111132000 is 231111131201.

It is a super-2 number, since 2×102131111132000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102131111132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131111132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411694997 + ... + 411942996.

It is an arithmetic number, because the mean of its divisors is an integer number (2698238068344).

Almost surely, 2^{102131111132000} is an apocalyptic number.

102131111132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131111132000 is an abundant number, since it is smaller than the sum of its proper divisors (156899743429024).

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

102131111132000 is an equidigital number, since it uses as much as digits as its factorization.

102131111132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823638049 (or 823638031 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 102131111132000 its reverse (231111131201), we get a palindrome (102362222263201).

The spelling of 102131111132000 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirty-two thousand".