21121133112112 has 80 divisors (see below), whose sum is σ = 47991824755200. Its totient is φ = 8901709297920.

The previous prime is 21121133112089. The next prime is 21121133112119.

21121133112112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21121133112112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21121133112119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67035687 + ... + 67350022.

It is an arithmetic number, because the mean of its divisors is an integer number (599897809440).

Almost surely, 2^{21121133112112} is an apocalyptic number.

21121133112112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121133112112 is an abundant number, since it is smaller than the sum of its proper divisors (26870691643088).

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

21121133112112 is a wasteful number, since it uses less digits than its factorization.

21121133112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134385794 (or 134385788 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

It can be divided in two parts, 2112113 and 3112112, that added together give a palindrome (5224225).

The spelling of 21121133112112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, one hundred twelve".