111211112111 has 16 divisors (see below), whose sum is σ = 122988499200. Its totient is φ = 99715686720.

The previous prime is 111211112083. The next prime is 111211112141.

111211112111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111211112111 is a prime.

It is a super-2 number, since 2×111211112111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211112141) 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, 445211 + ... + 648563.

It is an arithmetic number, because the mean of its divisors is an integer number (7686781200).

Almost surely, 2^111211112111 is an apocalyptic number.

111211112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111211112111 is a deficient number, since it is larger than the sum of its proper divisors (11777387089).

111211112111 is a wasteful number, since it uses less digits than its factorization.

111211112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204046.

The product of its digits is 4, while the sum is 14.

It can be divided in two parts, 111211 and 112111, that multiplied together give a palindrome (12467976421).

The spelling of 111211112111 in words is "one hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred eleven".