102133112313100 has 72 divisors (see below), whose sum is σ = 241778613178368. Its totient is φ = 37139055220800.

The previous prime is 102133112313053. The next prime is 102133112313109. The reversal of 102133112313100 is 1313211331201.

It is a super-2 number, since 2×102133112313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102133112313109) 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, 237366357 + ... + 237796243.

It is an arithmetic number, because the mean of its divisors is an integer number (3358036294144).

Almost surely, 2^{102133112313100} is an apocalyptic number.

102133112313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133112313100 is an abundant number, since it is smaller than the sum of its proper divisors (139645500865268).

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

102133112313100 is a wasteful number, since it uses less digits than its factorization.

102133112313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645895 (or 645888 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102133112313100 its reverse (1313211331201), we get a palindrome (103446323644301).

The spelling of 102133112313100 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twelve million, three hundred thirteen thousand, one hundred".