10000001010917 has 2 divisors, whose sum is σ = 10000001010918. Its totient is φ = 10000001010916.

The previous prime is 10000001010869. The next prime is 10000001011031. The reversal of 10000001010917 is 71901010000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8282417770561 + 1717583240356 = 2877919^2 + 1310566^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001010917 - 2⁸ = 10000001010661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000004010917) 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, 5000000505458 + 5000000505459.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000505459).

Almost surely, 2^{10000001010917} is an apocalyptic number.

It is an amenable number.

10000001010917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001010917 is an equidigital number, since it uses as much as digits as its factorization.

10000001010917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 20.

Adding to 10000001010917 its reverse (71901010000001), we get a palindrome (81901011010918).

The spelling of 10000001010917 in words is "ten trillion, one million, ten thousand, nine hundred seventeen".