2111111111121 has 16 divisors (see below), whose sum is σ = 2818848247488. Its totient is φ = 1405392032000.

The previous prime is 2111111111111. The next prime is 2111111111233. The reversal of 2111111111121 is 1211111111112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2111111111121 - 2¹¹ = 2111111109073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2111111111121.

It is not an unprimeable number, because it can be changed into a prime (2111111111111) 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, 6188821 + ... + 6521021.

It is an arithmetic number, because the mean of its divisors is an integer number (176178015468).

Almost surely, 2^{2111111111121} is an apocalyptic number.

It is an amenable number.

2111111111121 is a deficient number, since it is larger than the sum of its proper divisors (707737136367).

2111111111121 is a wasteful number, since it uses less digits than its factorization.

2111111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335232.

The product of its digits is 4, while the sum is 15.

Adding to 2111111111121 its reverse (1211111111112), we get a palindrome (3322222222233).

Subtracting from 2111111111121 its reverse (1211111111112), we obtain a palindrome (900000000009).

The spelling of 2111111111121 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".