10001006017 has 2 divisors, whose sum is σ = 10001006018. Its totient is φ = 10001006016.

The previous prime is 10001006011. The next prime is 10001006039. The reversal of 10001006017 is 71060010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9105739776 + 895266241 = 95424^2 + 29921^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001006017 - 2²⁷ = 9866788289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001006011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000503008 + 5000503009.

It is an arithmetic number, because the mean of its divisors is an integer number (5000503009).

Almost surely, 2^10001006017 is an apocalyptic number.

It is an amenable number.

10001006017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001006017 is an equidigital number, since it uses as much as digits as its factorization.

10001006017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10001006017 its reverse (71060010001), we get a palindrome (81061016018).

The spelling of 10001006017 in words is "ten billion, one million, six thousand, seventeen".