22100332100 has 144 divisors (see below), whose sum is σ = 60806108160. Its totient is φ = 6771523200.

The previous prime is 22100332091. The next prime is 22100332117. The reversal of 22100332100 is 123300122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429977 + ... + 478623.

It is an arithmetic number, because the mean of its divisors is an integer number (422264640).

Almost surely, 2^22100332100 is an apocalyptic number.

22100332100 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 22100332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30403054080).

22100332100 is an abundant number, since it is smaller than the sum of its proper divisors (38705776060).

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

22100332100 is a wasteful number, since it uses less digits than its factorization.

22100332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48738 (or 48731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 22100332100 its reverse (123300122), we get a palindrome (22223632222).

The spelling of 22100332100 in words is "twenty-two billion, one hundred million, three hundred thirty-two thousand, one hundred".