22102110122121 has 24 divisors (see below), whose sum is σ = 33026381661000. Its totient is φ = 14226542168832.

The previous prime is 22102110122119. The next prime is 22102110122167. The reversal of 22102110122121 is 12122101120122.

22102110122121 is a `hidden beast` number, since 2 + 210 + 211 + 0 + 1 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7601710694400 + 14500399427721 = 2757120^2 + 3807939^2 .

It is not a de Polignac number, because 22102110122121 - 2¹ = 22102110122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22102110122094 and 22102110122103.

It is not an unprimeable number, because it can be changed into a prime (22102110122821) 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, 53945325 + ... + 54353493.

It is an arithmetic number, because the mean of its divisors is an integer number (1376099235875).

Almost surely, 2^{22102110122121} is an apocalyptic number.

It is an amenable number.

22102110122121 is a deficient number, since it is larger than the sum of its proper divisors (10924271538879).

22102110122121 is a wasteful number, since it uses less digits than its factorization.

22102110122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615673 (or 615670 counting only the distinct ones).

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

Adding to 22102110122121 its reverse (12122101120122), we get a palindrome (34224211242243).

The spelling of 22102110122121 in words is "twenty-two trillion, one hundred two billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".