112112110211121 has 24 divisors (see below), whose sum is σ = 166328435016744. Its totient is φ = 72716134406400.

The previous prime is 112112110211119. The next prime is 112112110211141. The reversal of 112112110211121 is 121112011211211.

112112110211121 is a `hidden beast` number, since 1 + 121 + 1 + 211 + 0 + 211 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66923263480896 + 45188846730225 = 8180664^2 + 6722265^2 .

It is not a de Polignac number, because 112112110211121 - 2¹ = 112112110211119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112110211094 and 112112110211103.

It is not an unprimeable number, because it can be changed into a prime (112112110211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7480636 + ... + 16738701.

It is an arithmetic number, because the mean of its divisors is an integer number (6930351459031).

Almost surely, 2^{112112110211121} is an apocalyptic number.

It is an amenable number.

112112110211121 is a deficient number, since it is larger than the sum of its proper divisors (54216324805623).

112112110211121 is a wasteful number, since it uses less digits than its factorization.

112112110211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24233281 (or 24233278 counting only the distinct ones).

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

Adding to 112112110211121 its reverse (121112011211211), we get a palindrome (233224121422332).

The spelling of 112112110211121 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".