102100313103200 has 72 divisors (see below), whose sum is σ = 257292789082560. Its totient is φ = 39522701836800.

The previous prime is 102100313103137. The next prime is 102100313103211. The reversal of 102100313103200 is 2301313001201.

It is a super-2 number, since 2×102100313103200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2058449255 + ... + 2058498854.

It is an arithmetic number, because the mean of its divisors is an integer number (3573510959480).

Almost surely, 2^{102100313103200} is an apocalyptic number.

102100313103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100313103200 is an abundant number, since it is smaller than the sum of its proper divisors (155192475979360).

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

102100313103200 is a wasteful number, since it uses less digits than its factorization.

102100313103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116948160 (or 4116948147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102100313103200 its reverse (2301313001201), we get a palindrome (104401626104401).

The spelling of 102100313103200 in words is "one hundred two trillion, one hundred billion, three hundred thirteen million, one hundred three thousand, two hundred".