112111122210201 has 60 divisors (see below), whose sum is σ = 173560902443500. Its totient is φ = 72116825945472.

The previous prime is 112111122210173. The next prime is 112111122210233. The reversal of 112111122210201 is 102012221111211.

It is a happy number.

112111122210201 is a `hidden beast` number, since 1 + 121 + 11 + 122 + 210 + 201 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 309999514176 + 111801122696025 = 556776^2 + 10573605^2 .

It is not a de Polignac number, because 112111122210201 - 2⁵ = 112111122210169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112111122210271) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104988195 + ... + 106050663.

Almost surely, 2^{112111122210201} is an apocalyptic number.

It is an amenable number.

112111122210201 is a deficient number, since it is larger than the sum of its proper divisors (61449780233299).

112111122210201 is a wasteful number, since it uses less digits than its factorization.

112111122210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064088 (or 1064050 counting only the distinct ones).

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

Adding to 112111122210201 its reverse (102012221111211), we get a palindrome (214123343321412).

The spelling of 112111122210201 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".