10000004010917 has 2 divisors, whose sum is σ = 10000004010918. Its totient is φ = 10000004010916.

The previous prime is 10000004010889. The next prime is 10000004010937. The reversal of 10000004010917 is 71901040000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8662814746756 + 1337189264161 = 2943266^2 + 1156369^2 .

It is an emirp because it is prime and its reverse (71901040000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000004010917 - 2⁶ = 10000004010853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000004010892 and 10000004010901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000004010937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000002005458 + 5000002005459.

It is an arithmetic number, because the mean of its divisors is an integer number (5000002005459).

Almost surely, 2^{10000004010917} is an apocalyptic number.

It is an amenable number.

10000004010917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000004010917 is an equidigital number, since it uses as much as digits as its factorization.

10000004010917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 10000004010917 its reverse (71901040000001), we get a palindrome (81901044010918).

The spelling of 10000004010917 in words is "ten trillion, four million, ten thousand, nine hundred seventeen".