22122200100 has 864 divisors, whose sum is σ = 89421998848. Its totient is φ = 4105728000.

The previous prime is 22122200083. The next prime is 22122200119. The reversal of 22122200100 is 100222122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 287 ways as a sum of consecutive naturals, for example, 122222010 + ... + 122222190.

Almost surely, 2^22122200100 is an apocalyptic number.

22122200100 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 22122200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44710999424).

22122200100 is an abundant number, since it is smaller than the sum of its proper divisors (67299798748).

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

22122200100 is a wasteful number, since it uses less digits than its factorization.

22122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22122200100 its reverse (100222122), we get a palindrome (22222422222).

It can be divided in two parts, 22122 and 200100, that added together give a palindrome (222222).

The spelling of 22122200100 in words is "twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred".