22100212102120 has 128 divisors (see below), whose sum is σ = 50938183296000. Its totient is φ = 8627399838720.

The previous prime is 22100212102093. The next prime is 22100212102139. The reversal of 22100212102120 is 2120121200122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22100212102094 and 22100212102103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176021926 + ... + 176147434.

It is an arithmetic number, because the mean of its divisors is an integer number (397954557000).

Almost surely, 2^{22100212102120} is an apocalyptic number.

22100212102120 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 22100212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469091648000).

22100212102120 is an abundant number, since it is smaller than the sum of its proper divisors (28837971193880).

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

22100212102120 is a wasteful number, since it uses less digits than its factorization.

22100212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126243 (or 126239 counting only the distinct ones).

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

Adding to 22100212102120 its reverse (2120121200122), we get a palindrome (24220333302242).

The spelling of 22100212102120 in words is "twenty-two trillion, one hundred billion, two hundred twelve million, one hundred two thousand, one hundred twenty".