1010001000017 has 2 divisors, whose sum is σ = 1010001000018. Its totient is φ = 1010001000016.

The previous prime is 1010000999963. The next prime is 1010001000031. The reversal of 1010001000017 is 7100001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 948512375056 + 61488624961 = 973916^2 + 247969^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001000017 - 2²⁴ = 1009984222801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010000999971 and 1010001000007.

It is not a weakly prime, because it can be changed into another prime (1010001000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000500008 + 505000500009.

It is an arithmetic number, because the mean of its divisors is an integer number (505000500009).

Almost surely, 2^{1010001000017} is an apocalyptic number.

It is an amenable number.

1010001000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001000017 is an equidigital number, since it uses as much as digits as its factorization.

1010001000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 1010001000017 its reverse (7100001000101), we get a palindrome (8110002000118).

The spelling of 1010001000017 in words is "one trillion, ten billion, one million, seventeen", and thus it is an aban number and an uban number.