22100222120 has 32 divisors (see below), whose sum is σ = 49766070600. Its totient is φ = 8832876288.

The previous prime is 22100222099. The next prime is 22100222141. The reversal of 22100222120 is 2122200122.

It is an interprime number because it is at equal distance from previous prime (22100222099) and next prime (22100222141).

It can be written as a sum of positive squares in 4 ways, for example, as 21069683716 + 1030538404 = 145154^2 + 32102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22100222095 and 22100222104.

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 7 ways as a sum of consecutive naturals, for example, 175619 + ... + 273938.

Almost surely, 2^22100222120 is an apocalyptic number.

22100222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100222120 is an abundant number, since it is smaller than the sum of its proper divisors (27665848480).

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

22100222120 is a wasteful number, since it uses less digits than its factorization.

22100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450797 (or 450793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100222120 its reverse (2122200122), we get a palindrome (24222422242).

The spelling of 22100222120 in words is "twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".