10001010917 has 2 divisors, whose sum is σ = 10001010918. Its totient is φ = 10001010916.

The previous prime is 10001010827. The next prime is 10001010919. The reversal of 10001010917 is 71901010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5211540481 + 4789470436 = 72191^2 + 69206^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010917 - 2⁸ = 10001010661 is a prime.

Together with 10001010919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505458 + 5000505459.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505459).

Almost surely, 2^10001010917 is an apocalyptic number.

It is an amenable number.

10001010917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010917 is an equidigital number, since it uses as much as digits as its factorization.

10001010917 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 10001010917 its reverse (71901010001), we get a palindrome (81902020918).

The spelling of 10001010917 in words is "ten billion, one million, ten thousand, nine hundred seventeen".