12100111133100 has 144 divisors (see below), whose sum is σ = 35057671477920. Its totient is φ = 3222273075200.

The previous prime is 12100111133093. The next prime is 12100111133113. The reversal of 12100111133100 is 133111100121.

It is a super-2 number, since 2×12100111133100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12100111133100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607130136 + ... + 1607137664.

It is an arithmetic number, because the mean of its divisors is an integer number (243456051930).

Almost surely, 2^{12100111133100} is an apocalyptic number.

12100111133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100111133100 is an abundant number, since it is smaller than the sum of its proper divisors (22957560344820).

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

12100111133100 is a wasteful number, since it uses less digits than its factorization.

12100111133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14180 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12100111133100 its reverse (133111100121), we get a palindrome (12233222233221).

The spelling of 12100111133100 in words is "twelve trillion, one hundred billion, one hundred eleven million, one hundred thirty-three thousand, one hundred".