12001100102112 has 72 divisors (see below), whose sum is σ = 34627141133928. Its totient is φ = 3636696997120.

The previous prime is 12001100102107. The next prime is 12001100102141. The reversal of 12001100102112 is 21120100110021.

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 11 ways as a sum of consecutive naturals, for example, 516564663 + ... + 516587894.

It is an arithmetic number, because the mean of its divisors is an integer number (480932515749).

Almost surely, 2^{12001100102112} is an apocalyptic number.

12001100102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001100102112 is an abundant number, since it is smaller than the sum of its proper divisors (22626041031816).

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

12001100102112 is a wasteful number, since it uses less digits than its factorization.

12001100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033152592 (or 1033152573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001100102112 its reverse (21120100110021), we get a palindrome (33121200212133).

The spelling of 12001100102112 in words is "twelve trillion, one billion, one hundred million, one hundred two thousand, one hundred twelve".