21100033120 has 96 divisors (see below), whose sum is σ = 50981011200. Its totient is φ = 8249949696.

The previous prime is 21100033109. The next prime is 21100033139. The reversal of 21100033120 is 2133000112.

It is a super-2 number, since 2×21100033120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21100033120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683517 + ... + 1696003.

It is an arithmetic number, because the mean of its divisors is an integer number (531052200).

Almost surely, 2^21100033120 is an apocalyptic number.

21100033120 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 21100033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25490505600).

21100033120 is an abundant number, since it is smaller than the sum of its proper divisors (29880978080).

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

21100033120 is a wasteful number, since it uses less digits than its factorization.

21100033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12740 (or 12732 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21100033120 its reverse (2133000112), we get a palindrome (23233033232).

The spelling of 21100033120 in words is "twenty-one billion, one hundred million, thirty-three thousand, one hundred twenty".