21333402221100 has 72 divisors (see below), whose sum is σ = 61726158054288. Its totient is φ = 5688767692800.

The previous prime is 21333402221093. The next prime is 21333402221111. The reversal of 21333402221100 is 112220433312.

It is a super-2 number, since 2×21333402221100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11676892 + ... + 13379708.

It is an arithmetic number, because the mean of its divisors is an integer number (857307750754).

Almost surely, 2^{21333402221100} is an apocalyptic number.

21333402221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21333402221100 is an abundant number, since it is smaller than the sum of its proper divisors (40392755833188).

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

21333402221100 is a wasteful number, since it uses less digits than its factorization.

21333402221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744595 (or 1744588 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21333402221100 its reverse (112220433312), we get a palindrome (21445622654412).

The spelling of 21333402221100 in words is "twenty-one trillion, three hundred thirty-three billion, four hundred two million, two hundred twenty-one thousand, one hundred".