112010112102289 has 2 divisors, whose sum is σ = 112010112102290. Its totient is φ = 112010112102288.

The previous prime is 112010112102283. The next prime is 112010112102307. The reversal of 112010112102289 is 982201211010211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91419318209025 + 20590793893264 = 9561345^2 + 4537708^2 .

It is a cyclic number.

It is not a de Polignac number, because 112010112102289 - 2³⁵ = 111975752363921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112010112102289.

It is not a weakly prime, because it can be changed into another prime (112010112102283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005056051144 + 56005056051145.

It is an arithmetic number, because the mean of its divisors is an integer number (56005056051145).

Almost surely, 2^{112010112102289} is an apocalyptic number.

It is an amenable number.

112010112102289 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010112102289 is an equidigital number, since it uses as much as digits as its factorization.

112010112102289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 112010112102289 in words is "one hundred twelve trillion, ten billion, one hundred twelve million, one hundred two thousand, two hundred eighty-nine".