22100022120 has 64 divisors (see below), whose sum is σ = 72327349440. Its totient is φ = 5357580800.

The previous prime is 22100022103. The next prime is 22100022143. The reversal of 22100022120 is 2122000122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22100022096 and 22100022105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8369901 + ... + 8372540.

It is an arithmetic number, because the mean of its divisors is an integer number (1130114835).

Almost surely, 2^22100022120 is an apocalyptic number.

22100022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100022120 is an abundant number, since it is smaller than the sum of its proper divisors (50227327320).

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

22100022120 is a wasteful number, since it uses less digits than its factorization.

22100022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742466 (or 16742462 counting only the distinct ones).

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

Adding to 22100022120 its reverse (2122000122), we get a palindrome (24222022242).

It can be divided in two parts, 2210002 and 2120, that added together give a palindrome (2212122).

The spelling of 22100022120 in words is "twenty-two billion, one hundred million, twenty-two thousand, one hundred twenty".