10115142112289 has 2 divisors, whose sum is σ = 10115142112290. Its totient is φ = 10115142112288.

The previous prime is 10115142112279. The next prime is 10115142112349. The reversal of 10115142112289 is 98221124151101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10101006091264 + 14136021025 = 3178208^2 + 118895^2 .

It is a cyclic number.

It is not a de Polignac number, because 10115142112289 - 2³⁶ = 10046422635553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10115142112279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057571056144 + 5057571056145.

It is an arithmetic number, because the mean of its divisors is an integer number (5057571056145).

Almost surely, 2^{10115142112289} is an apocalyptic number.

It is an amenable number.

10115142112289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10115142112289 is an equidigital number, since it uses as much as digits as its factorization.

10115142112289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 38.

The spelling of 10115142112289 in words is "ten trillion, one hundred fifteen billion, one hundred forty-two million, one hundred twelve thousand, two hundred eighty-nine".