112112101211211 has 24 divisors (see below), whose sum is σ = 162769710383280. Its totient is φ = 74358357103296.

The previous prime is 112112101211183. The next prime is 112112101211213.

112112101211211 is a `hidden beast` number, since 1 + 1 + 211 + 210 + 121 + 121 + 1 = 666.

112112101211211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112112101211211 - 2⁹ = 112112101210699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112101211213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34865220 + ... + 37944798.

It is an arithmetic number, because the mean of its divisors is an integer number (6782071265970).

Almost surely, 2^{112112101211211} is an apocalyptic number.

112112101211211 is a deficient number, since it is larger than the sum of its proper divisors (50657609172069).

112112101211211 is a wasteful number, since it uses less digits than its factorization.

112112101211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100315 (or 3100312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

It can be divided in two parts, 11211210 and 1211211, that added together give a palindrome (12422421).

The spelling of 112112101211211 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred one million, two hundred eleven thousand, two hundred eleven".