2111120211111 has 32 divisors (see below), whose sum is σ = 3039616017600. Its totient is φ = 1300480634880.

The previous prime is 2111120211043. The next prime is 2111120211143. The reversal of 2111120211111 is 1111120211112.

It is not a de Polignac number, because 2111120211111 - 2²⁷ = 2110985993383 is a prime.

It is a super-2 number, since 2×2111120211111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111120211181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5179306 + ... + 5572023.

It is an arithmetic number, because the mean of its divisors is an integer number (94988000550).

Almost surely, 2^{2111120211111} is an apocalyptic number.

2111120211111 is a deficient number, since it is larger than the sum of its proper divisors (928495806489).

2111120211111 is a wasteful number, since it uses less digits than its factorization.

2111120211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751459.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2111120211111 its reverse (1111120211112), we get a palindrome (3222240422223).

Subtracting from 2111120211111 its reverse (1111120211112), we obtain a palindrome (999999999999).

The spelling of 2111120211111 in words is "two trillion, one hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred eleven".