112010122120801 has 2 divisors, whose sum is σ = 112010122120802. Its totient is φ = 112010122120800.

The previous prime is 112010122120769. The next prime is 112010122120811. The reversal of 112010122120801 is 108021221010211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100751406250000 + 11258715870801 = 10037500^2 + 3355401^2 .

It is a cyclic number.

It is not a de Polignac number, because 112010122120801 - 2⁵ = 112010122120769 is a prime.

It is not a weakly prime, because it can be changed into another prime (112010122120811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005061060400 + 56005061060401.

It is an arithmetic number, because the mean of its divisors is an integer number (56005061060401).

Almost surely, 2^{112010122120801} is an apocalyptic number.

It is an amenable number.

112010122120801 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010122120801 is an equidigital number, since it uses as much as digits as its factorization.

112010122120801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 112010122120801 in words is "one hundred twelve trillion, ten billion, one hundred twenty-two million, one hundred twenty thousand, eight hundred one".