12001102101100 has 144 divisors (see below), whose sum is σ = 31029514483968. Its totient is φ = 3943143509760.

The previous prime is 12001102101077. The next prime is 12001102101169. The reversal of 12001102101100 is 110120110021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2166094 + ... + 5356693.

It is an arithmetic number, because the mean of its divisors is an integer number (215482739472).

Almost surely, 2^{12001102101100} is an apocalyptic number.

12001102101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001102101100 is an abundant number, since it is smaller than the sum of its proper divisors (19028412382868).

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

12001102101100 is a wasteful number, since it uses less digits than its factorization.

12001102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522904 (or 7522897 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12001102101100 its reverse (110120110021), we get a palindrome (12111222211121).

The spelling of 12001102101100 in words is "twelve trillion, one billion, one hundred two million, one hundred one thousand, one hundred".