21001332000100 has 36 divisors (see below), whose sum is σ = 45573093875764. Its totient is φ = 8400495300480.

The previous prime is 21001332000083. The next prime is 21001332000101. The reversal of 21001332000100 is 100023310012.

It can be written as a sum of positive squares in 6 ways, for example, as 197443367716 + 20803888632384 = 444346^2 + 4561128^2 .

It is not an unprimeable number, because it can be changed into a prime (21001332000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36737662 + ... + 37304938.

Almost surely, 2^{21001332000100} is an apocalyptic number.

21001332000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001332000100 is an abundant number, since it is smaller than the sum of its proper divisors (24571761875664).

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

21001332000100 is a wasteful number, since it uses less digits than its factorization.

21001332000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937504 (or 937497 counting only the distinct ones).

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

Adding to 21001332000100 its reverse (100023310012), we get a palindrome (21101355310112).

The spelling of 21001332000100 in words is "twenty-one trillion, one billion, three hundred thirty-two million, one hundred", and thus it is an aban number.