21145133154112 has 56 divisors (see below), whose sum is σ = 45776313324000. Its totient is φ = 9611024002560.

The previous prime is 21145133154073. The next prime is 21145133154163.

21145133154112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21145133154112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16634298 + ... + 17860294.

It is an arithmetic number, because the mean of its divisors is an integer number (817434166500).

Almost surely, 2^{21145133154112} is an apocalyptic number.

21145133154112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21145133154112 is an abundant number, since it is smaller than the sum of its proper divisors (24631180169888).

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

21145133154112 is a wasteful number, since it uses less digits than its factorization.

21145133154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250519 (or 1250509 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

It can be divided in two parts, 2114513 and 3154112, that added together give a palindrome (5268625).

The spelling of 21145133154112 in words is "twenty-one trillion, one hundred forty-five billion, one hundred thirty-three million, one hundred fifty-four thousand, one hundred twelve".