21333021312100 has 144 divisors (see below), whose sum is σ = 47665347778048. Its totient is φ = 8282791157760.

The previous prime is 21333021312077. The next prime is 21333021312151. The reversal of 21333021312100 is 121312033312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553266022 + ... + 553304578.

Almost surely, 2^{21333021312100} is an apocalyptic number.

21333021312100 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 21333021312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832673889024).

21333021312100 is an abundant number, since it is smaller than the sum of its proper divisors (26332326465948).

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

21333021312100 is a wasteful number, since it uses less digits than its factorization.

21333021312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39414 (or 39407 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21333021312100 its reverse (121312033312), we get a palindrome (21454333345412).

The spelling of 21333021312100 in words is "twenty-one trillion, three hundred thirty-three billion, twenty-one million, three hundred twelve thousand, one hundred".