112112000011201 has 16 divisors (see below), whose sum is σ = 117741822661440. Its totient is φ = 106600672664640.

The previous prime is 112112000011171. The next prime is 112112000011213. The reversal of 112112000011201 is 102110000211211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112112000011201 - 2²⁹ = 112111463140289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112112000011261) 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 15 ways as a sum of consecutive naturals, for example, 1098591 + ... + 15014356.

It is an arithmetic number, because the mean of its divisors is an integer number (7358863916340).

Almost surely, 2^{112112000011201} is an apocalyptic number.

It is an amenable number.

112112000011201 is a deficient number, since it is larger than the sum of its proper divisors (5629822650239).

112112000011201 is a wasteful number, since it uses less digits than its factorization.

112112000011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116624.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112112000011201 its reverse (102110000211211), we get a palindrome (214222000222412).

The spelling of 112112000011201 in words is "one hundred twelve trillion, one hundred twelve billion, eleven thousand, two hundred one".