123100110002100 has 432 divisors, whose sum is σ = 478572612517440. Its totient is φ = 24074581708800.

The previous prime is 123100110002087. The next prime is 123100110002141. The reversal of 123100110002100 is 1200011001321.

It is a super-3 number, since 3×123100110002100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19641895 + ... + 25139694.

It is an arithmetic number, because the mean of its divisors is an integer number (1107806973420).

Almost surely, 2^{123100110002100} is an apocalyptic number.

123100110002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123100110002100 is an abundant number, since it is smaller than the sum of its proper divisors (355472502515340).

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

123100110002100 is a wasteful number, since it uses less digits than its factorization.

123100110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44781648 (or 44781634 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 123100110002100 its reverse (1200011001321), we get a palindrome (124300121003421).

The spelling of 123100110002100 in words is "one hundred twenty-three trillion, one hundred billion, one hundred ten million, two thousand, one hundred".