21322301100 has 216 divisors, whose sum is σ = 63793916928. Its totient is φ = 5497430400.

The previous prime is 21322301093. The next prime is 21322301101. The reversal of 21322301100 is 110322312.

It is a super-2 number, since 2×21322301100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21322301100.

It is not an unprimeable number, because it can be changed into a prime (21322301101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95615589 + ... + 95615811.

It is an arithmetic number, because the mean of its divisors is an integer number (295342208).

Almost surely, 2^21322301100 is an apocalyptic number.

21322301100 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 21322301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31896958464).

21322301100 is an abundant number, since it is smaller than the sum of its proper divisors (42471615828).

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

21322301100 is a wasteful number, since it uses less digits than its factorization.

21322301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21322301100 its reverse (110322312), we get a palindrome (21432623412).

The spelling of 21322301100 in words is "twenty-one billion, three hundred twenty-two million, three hundred one thousand, one hundred".