22100222100 has 144 divisors (see below), whose sum is σ = 71642039616. Its totient is φ = 5212800000.

The previous prime is 22100222099. The next prime is 22100222141. The reversal of 22100222100 is 122200122.

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

It is a congruent number.

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, 31600 + ... + 212600.

It is an arithmetic number, because the mean of its divisors is an integer number (497514164).

Almost surely, 2^22100222100 is an apocalyptic number.

22100222100 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 22100222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35821019808).

22100222100 is an abundant number, since it is smaller than the sum of its proper divisors (49541817516).

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

22100222100 is a wasteful number, since it uses less digits than its factorization.

22100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181066 (or 181059 counting only the distinct ones).

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

Adding to 22100222100 its reverse (122200122), we get a palindrome (22222422222).

It can be divided in two parts, 2210022 and 2100, that added together give a palindrome (2212122).

The spelling of 22100222100 in words is "twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred".