112112220101121 has 96 divisors (see below), whose sum is σ = 168086705799168. Its totient is φ = 71950918515840.

The previous prime is 112112220101107. The next prime is 112112220101173. The reversal of 112112220101121 is 121101022211211.

It is a happy number.

112112220101121 is a `hidden beast` number, since 11 + 211 + 2 + 220 + 101 + 121 = 666.

It is not a de Polignac number, because 112112220101121 - 2³⁰ = 112111146359297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112220101094 and 112112220101103.

It is not an unprimeable number, because it can be changed into a prime (112112220101521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31395187266 + ... + 31395190836.

It is an arithmetic number, because the mean of its divisors is an integer number (1750903185408).

Almost surely, 2^{112112220101121} is an apocalyptic number.

It is an amenable number.

112112220101121 is a deficient number, since it is larger than the sum of its proper divisors (55974485698047).

112112220101121 is a wasteful number, since it uses less digits than its factorization.

112112220101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112220101121 its reverse (121101022211211), we get a palindrome (233213242312332).

The spelling of 112112220101121 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty million, one hundred one thousand, one hundred twenty-one".