1002001100017 has 2 divisors, whose sum is σ = 1002001100018. Its totient is φ = 1002001100016.

The previous prime is 1002001099997. The next prime is 1002001100041. The reversal of 1002001100017 is 7100011002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 526612913761 + 475388186256 = 725681^2 + 689484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002001100017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002001100047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000550008 + 501000550009.

It is an arithmetic number, because the mean of its divisors is an integer number (501000550009).

Almost surely, 2^{1002001100017} is an apocalyptic number.

It is an amenable number.

1002001100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002001100017 is an equidigital number, since it uses as much as digits as its factorization.

1002001100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1002001100017 its reverse (7100011002001), we get a palindrome (8102012102018).

The spelling of 1002001100017 in words is "one trillion, two billion, one million, one hundred thousand, seventeen".