22100200122120 has 384 divisors, whose sum is σ = 72421237123200. Its totient is φ = 5388109074432.

The previous prime is 22100200122043. The next prime is 22100200122131. The reversal of 22100200122120 is 2122100200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100200122120.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4958534932 + ... + 4958539388.

It is an arithmetic number, because the mean of its divisors is an integer number (188596971675).

Almost surely, 2^{22100200122120} is an apocalyptic number.

22100200122120 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 22100200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36210618561600).

22100200122120 is an abundant number, since it is smaller than the sum of its proper divisors (50321037001080).

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

22100200122120 is a wasteful number, since it uses less digits than its factorization.

22100200122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100200122120 its reverse (2122100200122), we get a palindrome (24222300322242).

The spelling of 22100200122120 in words is "twenty-two trillion, one hundred billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".