111211121112111 has 96 divisors (see below), whose sum is σ = 167744045015040. Its totient is φ = 70941100624128.

The previous prime is 111211121112079. The next prime is 111211121112137.

111211121112111 is a `hidden beast` number, since 111 + 211 + 1 + 211 + 121 + 11 = 666.

111211121112111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111211121112111 - 2⁵ = 111211121112079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211121112191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2198387760 + ... + 2198438346.

It is an arithmetic number, because the mean of its divisors is an integer number (1747333802240).

Almost surely, 2^{111211121112111} is an apocalyptic number.

111211121112111 is a deficient number, since it is larger than the sum of its proper divisors (56532923902929).

111211121112111 is a wasteful number, since it uses less digits than its factorization.

111211121112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51213 (or 51210 counting only the distinct ones).

The product of its digits is 8, while the sum is 18.

The spelling of 111211121112111 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred eleven".