12331103012100 has 54 divisors (see below), whose sum is σ = 38651157332970. Its totient is φ = 3288294136320.

The previous prime is 12331103012047. The next prime is 12331103012119. The reversal of 12331103012100 is 121030113321.

12331103012100 is a `hidden beast` number, since 1 + 2 + 331 + 10 + 301 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3058749149184 + 9272353862916 = 1748928^2 + 3045054^2 .

It is a super-2 number, since 2×12331103012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6850611885 + ... + 6850613684.

Almost surely, 2^{12331103012100} is an apocalyptic number.

12331103012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331103012100 is an abundant number, since it is smaller than the sum of its proper divisors (26320054320870).

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

12331103012100 is a wasteful number, since it uses less digits than its factorization.

12331103012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701225589 (or 13701225579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12331103012100 its reverse (121030113321), we get a palindrome (12452133125421).

The spelling of 12331103012100 in words is "twelve trillion, three hundred thirty-one billion, one hundred three million, twelve thousand, one hundred".