112010122100953 has 2 divisors, whose sum is σ = 112010122100954. Its totient is φ = 112010122100952.

The previous prime is 112010122100897. The next prime is 112010122101013. The reversal of 112010122100953 is 359001221010211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111333793499289 + 676328601664 = 10551483^2 + 822392^2 .

It is a cyclic number.

It is not a de Polignac number, because 112010122100953 - 2³³ = 112001532166361 is a prime.

It is not a weakly prime, because it can be changed into another prime (112010122107953) 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 as a sum of consecutive naturals, namely, 56005061050476 + 56005061050477.

It is an arithmetic number, because the mean of its divisors is an integer number (56005061050477).

Almost surely, 2^{112010122100953} is an apocalyptic number.

It is an amenable number.

112010122100953 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010122100953 is an equidigital number, since it uses as much as digits as its factorization.

112010122100953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 112010122100953 in words is "one hundred twelve trillion, ten billion, one hundred twenty-two million, one hundred thousand, nine hundred fifty-three".