22101200221121 has 32 divisors (see below), whose sum is σ = 25799875377408. Its totient is φ = 18539708129280.

The previous prime is 22101200221081. The next prime is 22101200221123. The reversal of 22101200221121 is 12112200210122.

It is not a de Polignac number, because 22101200221121 - 2²⁶ = 22101133112257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22101200221121.

It is not an unprimeable number, because it can be changed into a prime (22101200221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329240441 + ... + 329307561.

It is an arithmetic number, because the mean of its divisors is an integer number (806246105544).

Almost surely, 2^{22101200221121} is an apocalyptic number.

It is an amenable number.

22101200221121 is a deficient number, since it is larger than the sum of its proper divisors (3698675156287).

22101200221121 is a wasteful number, since it uses less digits than its factorization.

22101200221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69401.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22101200221121 its reverse (12112200210122), we get a palindrome (34213400431243).

The spelling of 22101200221121 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".