22100021100 has 144 divisors (see below), whose sum is σ = 71326164000. Its totient is φ = 5870223360.

The previous prime is 22100021077. The next prime is 22100021107. The reversal of 22100021100 is 112000122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22100021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677976 + ... + 709824.

Almost surely, 2^22100021100 is an apocalyptic number.

22100021100 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 22100021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663082000).

22100021100 is an abundant number, since it is smaller than the sum of its proper divisors (49226142900).

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

22100021100 is a wasteful number, since it uses less digits than its factorization.

22100021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32129 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100021100 its reverse (112000122), we get a palindrome (22212021222).

The spelling of 22100021100 in words is "twenty-two billion, one hundred million, twenty-one thousand, one hundred".