1002002310017 has 2 divisors, whose sum is σ = 1002002310018. Its totient is φ = 1002002310016.

The previous prime is 1002002309963. The next prime is 1002002310047. The reversal of 1002002310017 is 7100132002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991784941456 + 10217368561 = 995884^2 + 101081^2 .

It is an emirp because it is prime and its reverse (7100132002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002002310017 - 2³⁰ = 1000928568193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002002309977 and 1002002310004.

It is not a weakly prime, because it can be changed into another prime (1002002310047) 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, 501001155008 + 501001155009.

It is an arithmetic number, because the mean of its divisors is an integer number (501001155009).

Almost surely, 2^{1002002310017} is an apocalyptic number.

It is an amenable number.

1002002310017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002002310017 is an equidigital number, since it uses as much as digits as its factorization.

1002002310017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 1002002310017 its reverse (7100132002001), we get a palindrome (8102134312018).

The spelling of 1002002310017 in words is "one trillion, two billion, two million, three hundred ten thousand, seventeen".