21001332012100 has 108 divisors (see below), whose sum is σ = 52812372135600. Its totient is φ = 7187621542400.

The previous prime is 21001332012079. The next prime is 21001332012103. The reversal of 21001332012100 is 121023310012.

It is not an unprimeable number, because it can be changed into a prime (21001332012103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32713450 + ... + 33349249.

It is an arithmetic number, because the mean of its divisors is an integer number (489003445700).

Almost surely, 2^{21001332012100} is an apocalyptic number.

21001332012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001332012100 is an abundant number, since it is smaller than the sum of its proper divisors (31811040123500).

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

21001332012100 is a wasteful number, since it uses less digits than its factorization.

21001332012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66062758 (or 66062734 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21001332012100 its reverse (121023310012), we get a palindrome (21122355322112).

The spelling of 21001332012100 in words is "twenty-one trillion, one billion, three hundred thirty-two million, twelve thousand, one hundred".