22112212100 has 72 divisors (see below), whose sum is σ = 52464954528. Its totient is φ = 8022476800.

The previous prime is 22112212099. The next prime is 22112212159. The reversal of 22112212100 is 121221122.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 464612 + ... + 509988.

It is an arithmetic number, because the mean of its divisors is an integer number (728679924).

Almost surely, 2^22112212100 is an apocalyptic number.

22112212100 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 22112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26232477264).

22112212100 is an abundant number, since it is smaller than the sum of its proper divisors (30352742428).

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

22112212100 is a wasteful number, since it uses less digits than its factorization.

22112212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45845 (or 45838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22112212100 its reverse (121221122), we get a palindrome (22233433222).

The spelling of 22112212100 in words is "twenty-two billion, one hundred twelve million, two hundred twelve thousand, one hundred".