21322133100 has 108 divisors (see below), whose sum is σ = 67446499120. Its totient is φ = 5633712000.

The previous prime is 21322133093. The next prime is 21322133167. The reversal of 21322133100 is 133122312.

21322133100 is a `hidden beast` number, since 21 + 322 + 13 + 310 + 0 = 666.

It is a super-2 number, since 2×21322133100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10576 + ... + 206775.

Almost surely, 2^21322133100 is an apocalyptic number.

21322133100 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 21322133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33723249560).

21322133100 is an abundant number, since it is smaller than the sum of its proper divisors (46124366020).

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

21322133100 is a wasteful number, since it uses less digits than its factorization.

21322133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217480 (or 217470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21322133100 its reverse (133122312), we get a palindrome (21455255412).

The spelling of 21322133100 in words is "twenty-one billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred".