2122122211121 has 16 divisors (see below), whose sum is σ = 2317085533440. Its totient is φ = 1927500193920.

The previous prime is 2122122211109. The next prime is 2122122211199. The reversal of 2122122211121 is 1211122212212.

It is a cyclic number.

It is not a de Polignac number, because 2122122211121 - 2³⁸ = 1847244304177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122122211093 and 2122122211102.

It is not an unprimeable number, because it can be changed into a prime (2122122211721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61548875 + ... + 61583343.

It is an arithmetic number, because the mean of its divisors is an integer number (144817845840).

Almost surely, 2^{2122122211121} is an apocalyptic number.

It is an amenable number.

2122122211121 is a deficient number, since it is larger than the sum of its proper divisors (194963322319).

2122122211121 is a wasteful number, since it uses less digits than its factorization.

2122122211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39256.

The product of its digits is 128, while the sum is 20.

Adding to 2122122211121 its reverse (1211122212212), we get a palindrome (3333244423333).

The spelling of 2122122211121 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".