21333331100 has 108 divisors (see below), whose sum is σ = 49350232008. Its totient is φ = 8002800000.

The previous prime is 21333331087. The next prime is 21333331111. The reversal of 21333331100 is 113333312.

It is a super-2 number, since 2×21333331100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3643175 + ... + 3649025.

Almost surely, 2^21333331100 is an apocalyptic number.

21333331100 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 21333331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675116004).

21333331100 is an abundant number, since it is smaller than the sum of its proper divisors (28016900908).

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

21333331100 is a wasteful number, since it uses less digits than its factorization.

21333331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 21333331100 its reverse (113333312), we get a palindrome (21446664412).

The spelling of 21333331100 in words is "twenty-one billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred".