22100122102120 has 64 divisors (see below), whose sum is σ = 50221341314640. Its totient is φ = 8751872256000.

The previous prime is 22100122102099. The next prime is 22100122102147. The reversal of 22100122102120 is 2120122100122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11429146012804 + 10670976089316 = 3380702^2 + 3266646^2 .

It is a super-2 number, since 2×22100122102120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100122102094 and 22100122102103.

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, 56011930 + ... + 56405110.

Almost surely, 2^{22100122102120} is an apocalyptic number.

22100122102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100122102120 is an abundant number, since it is smaller than the sum of its proper divisors (28121219212520).

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

22100122102120 is a wasteful number, since it uses less digits than its factorization.

22100122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407206 (or 407202 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22100122102120 its reverse (2120122100122), we get a palindrome (24220244202242).

The spelling of 22100122102120 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".