21120133102112 has 48 divisors (see below), whose sum is σ = 45375224049792. Its totient is φ = 9596898981120.

The previous prime is 21120133102097. The next prime is 21120133102151.

21120133102112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8809208 + ... + 10947255.

It is an arithmetic number, because the mean of its divisors is an integer number (945317167704).

Almost surely, 2^{21120133102112} is an apocalyptic number.

21120133102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21120133102112 is an abundant number, since it is smaller than the sum of its proper divisors (24255090947680).

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

21120133102112 is a wasteful number, since it uses less digits than its factorization.

21120133102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19759521 (or 19759513 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2112013 and 3102112, that added together give a palindrome (5214125).

The spelling of 21120133102112 in words is "twenty-one trillion, one hundred twenty billion, one hundred thirty-three million, one hundred two thousand, one hundred twelve".