2112111112111 has 32 divisors (see below), whose sum is σ = 2933629171200. Its totient is φ = 1466814545280.

The previous prime is 2112111112103. The next prime is 2112111112141. The reversal of 2112111112111 is 1112111112112.

It is not a de Polignac number, because 2112111112111 - 2³ = 2112111112103 is a prime.

It is a super-2 number, since 2×2112111112111² (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 (2112111112141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36350301 + ... + 36408358.

It is an arithmetic number, because the mean of its divisors is an integer number (91675911600).

Almost surely, 2^{2112111112111} is an apocalyptic number.

2112111112111 is a deficient number, since it is larger than the sum of its proper divisors (821518059089).

2112111112111 is a wasteful number, since it uses less digits than its factorization.

2112111112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72758719.

The product of its digits is 8, while the sum is 16.

Adding to 2112111112111 its reverse (1112111112112), we get a palindrome (3224222224223).

Subtracting from 2112111112111 its reverse (1112111112112), we obtain a palindrome (999999999999).

It can be divided in two parts, 2112111 and 112111, that added together give a palindrome (2224222).

The spelling of 2112111112111 in words is "two trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".