112010122120201 has 16 divisors (see below), whose sum is σ = 119834657139600. Its totient is φ = 104323958732800.

The previous prime is 112010122120181. The next prime is 112010122120213. The reversal of 112010122120201 is 102021221010211.

It can be written as a sum of positive squares in 8 ways, for example, as 11777086514176 + 100233035606025 = 3431776^2 + 10011645^2 .

It is a cyclic number.

It is not a de Polignac number, because 112010122120201 - 2¹⁹ = 112010121595913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112010122120801) 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 15 ways as a sum of consecutive naturals, for example, 13389316 + ... + 20082181.

It is an arithmetic number, because the mean of its divisors is an integer number (7489666071225).

Almost surely, 2^{112010122120201} is an apocalyptic number.

It is an amenable number.

112010122120201 is a deficient number, since it is larger than the sum of its proper divisors (7824535019399).

112010122120201 is a wasteful number, since it uses less digits than its factorization.

112010122120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33473564.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112010122120201 its reverse (102021221010211), we get a palindrome (214031343130412).

The spelling of 112010122120201 in words is "one hundred twelve trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, two hundred one".