10102842332017 has 2 divisors, whose sum is σ = 10102842332018. Its totient is φ = 10102842332016.

The previous prime is 10102842331987. The next prime is 10102842332027. The reversal of 10102842332017 is 71023324820101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8874256302961 + 1228586029056 = 2978969^2 + 1108416^2 .

It is an emirp because it is prime and its reverse (71023324820101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102842332017 - 2²³ = 10102833943409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102842332027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051421166008 + 5051421166009.

It is an arithmetic number, because the mean of its divisors is an integer number (5051421166009).

Almost surely, 2^{10102842332017} is an apocalyptic number.

It is an amenable number.

10102842332017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102842332017 is an equidigital number, since it uses as much as digits as its factorization.

10102842332017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 10102842332017 in words is "ten trillion, one hundred two billion, eight hundred forty-two million, three hundred thirty-two thousand, seventeen".