10010110100017 has 2 divisors, whose sum is σ = 10010110100018. Its totient is φ = 10010110100016.

The previous prime is 10010110099963. The next prime is 10010110100021. The reversal of 10010110100017 is 71000101101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9815131333921 + 194978766096 = 3132911^2 + 441564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010110100017 - 2³⁹ = 9460354286129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010110100047) 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, 5005055050008 + 5005055050009.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055050009).

Almost surely, 2^{10010110100017} is an apocalyptic number.

It is an amenable number.

10010110100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010110100017 is an equidigital number, since it uses as much as digits as its factorization.

10010110100017 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 13.

Adding to 10010110100017 its reverse (71000101101001), we get a palindrome (81010211201018).

The spelling of 10010110100017 in words is "ten trillion, ten billion, one hundred ten million, one hundred thousand, seventeen".