102131234310100 has 72 divisors (see below), whose sum is σ = 234663534822528. Its totient is φ = 38449077388800.

The previous prime is 102131234310073. The next prime is 102131234310103. The reversal of 102131234310100 is 1013432131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131234310103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306892795 + ... + 307225405.

It is an arithmetic number, because the mean of its divisors is an integer number (3259215761424).

Almost surely, 2^{102131234310100} is an apocalyptic number.

102131234310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131234310100 is an abundant number, since it is smaller than the sum of its proper divisors (132532300512428).

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

102131234310100 is a wasteful number, since it uses less digits than its factorization.

102131234310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513265 (or 513258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102131234310100 its reverse (1013432131201), we get a palindrome (103144666441301).

The spelling of 102131234310100 in words is "one hundred two trillion, one hundred thirty-one billion, two hundred thirty-four million, three hundred ten thousand, one hundred".