2111122211111 has 16 divisors (see below), whose sum is σ = 2150669322720. Its totient is φ = 2071814384640.

The previous prime is 2111122211101. The next prime is 2111122211113. The reversal of 2111122211111 is 1111122211112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111122211111 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 2111122211111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111122211113) 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, 166367855 + ... + 166380543.

It is an arithmetic number, because the mean of its divisors is an integer number (134416832670).

Almost surely, 2^{2111122211111} is an apocalyptic number.

2111122211111 is a deficient number, since it is larger than the sum of its proper divisors (39547111609).

2111122211111 is a wasteful number, since it uses less digits than its factorization.

2111122211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21874.

The product of its digits is 16, while the sum is 17.

Adding to 2111122211111 its reverse (1111122211112), we get a palindrome (3222244422223).

Subtracting from 2111122211111 its reverse (1111122211112), we obtain a palindrome (999999999999).

The spelling of 2111122211111 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred eleven".