21214024133100 has 72 divisors (see below), whose sum is σ = 61379741320128. Its totient is φ = 5657027188800.

The previous prime is 21214024133083. The next prime is 21214024133143. The reversal of 21214024133100 is 133142041212.

It is a super-2 number, since 2×21214024133100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53534695 + ... + 53929505.

It is an arithmetic number, because the mean of its divisors is an integer number (852496407224).

Almost surely, 2^{21214024133100} is an apocalyptic number.

21214024133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214024133100 is an abundant number, since it is smaller than the sum of its proper divisors (40165717187028).

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

21214024133100 is a wasteful number, since it uses less digits than its factorization.

21214024133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573935 (or 573928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21214024133100 its reverse (133142041212), we get a palindrome (21347166174312).

The spelling of 21214024133100 in words is "twenty-one trillion, two hundred fourteen billion, twenty-four million, one hundred thirty-three thousand, one hundred".