21213133100 has 72 divisors (see below), whose sum is σ = 46523011920. Its totient is φ = 8395073280.

The previous prime is 21213133099. The next prime is 21213133153. The reversal of 21213133100 is 133131212.

It is a super-2 number, since 2×21213133100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12239834 + ... + 12241566.

Almost surely, 2^21213133100 is an apocalyptic number.

21213133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261505960).

21213133100 is an abundant number, since it is smaller than the sum of its proper divisors (25309878820).

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

21213133100 is a wasteful number, since it uses less digits than its factorization.

21213133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 21213133100 its reverse (133131212), we get a palindrome (21346264312).

The spelling of 21213133100 in words is "twenty-one billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred".