22112102112201 has 24 divisors (see below), whose sum is σ = 34117787981160. Its totient is φ = 13751479074816.

The previous prime is 22112102112187. The next prime is 22112102112211. The reversal of 22112102112201 is 10221120121122.

22112102112201 is a `hidden beast` number, since 2 + 21 + 1 + 210 + 211 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14957534601 + 22097144577600 = 122301^2 + 4700760^2 .

It is not a de Polignac number, because 22112102112201 - 2⁵ = 22112102112169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22112102112211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639467416 + ... + 639501993.

It is an arithmetic number, because the mean of its divisors is an integer number (1421574499215).

Almost surely, 2^{22112102112201} is an apocalyptic number.

It is an amenable number.

22112102112201 is a deficient number, since it is larger than the sum of its proper divisors (12005685868959).

22112102112201 is a wasteful number, since it uses less digits than its factorization.

22112102112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278969545 (or 1278969542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112102112201 its reverse (10221120121122), we get a palindrome (32333222233323).

The spelling of 22112102112201 in words is "twenty-two trillion, one hundred twelve billion, one hundred two million, one hundred twelve thousand, two hundred one".