2112011102111 has 64 divisors (see below), whose sum is σ = 2400090642432. Its totient is φ = 1848000000000.

The previous prime is 2112011102101. The next prime is 2112011102147. The reversal of 2112011102111 is 1112011102112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112011102111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112011102101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703767611 + ... + 703770611.

It is an arithmetic number, because the mean of its divisors is an integer number (37501416288).

Almost surely, 2^{2112011102111} is an apocalyptic number.

2112011102111 is a deficient number, since it is larger than the sum of its proper divisors (288079540321).

2112011102111 is a wasteful number, since it uses less digits than its factorization.

2112011102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112011102111 its reverse (1112011102112), we get a palindrome (3224022204223).

Subtracting from 2112011102111 its reverse (1112011102112), we obtain a palindrome (999999999999).

It can be divided in two parts, 2112011 and 102111, that added together give a palindrome (2214122).

The spelling of 2112011102111 in words is "two trillion, one hundred twelve billion, eleven million, one hundred two thousand, one hundred eleven".