111112112111121 has 32 divisors (see below), whose sum is σ = 180780332976000. Its totient is φ = 66888723147840.

The previous prime is 111112112111101. The next prime is 111112112111131. The reversal of 111112112111121 is 121111211211111.

111112112111121 is a `hidden beast` number, since 11 + 111 + 211 + 211 + 1 + 121 = 666.

It is not a de Polignac number, because 111112112111121 - 2⁹ = 111112112110609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111112112111094 and 111112112111103.

It is not an unprimeable number, because it can be changed into a prime (111112112111101) 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, 1255374726 + ... + 1255463231.

It is an arithmetic number, because the mean of its divisors is an integer number (5649385405500).

Almost surely, 2^{111112112111121} is an apocalyptic number.

111112112111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111112112111121 is a deficient number, since it is larger than the sum of its proper divisors (69668220864879).

111112112111121 is a wasteful number, since it uses less digits than its factorization.

111112112111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510838126 (or 2510838120 counting only the distinct ones).

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

Adding to 111112112111121 its reverse (121111211211111), we get a palindrome (232223323322232).

The spelling of 111112112111121 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".