10100101110017 has 2 divisors, whose sum is σ = 10100101110018. Its totient is φ = 10100101110016.

The previous prime is 10100101109999. The next prime is 10100101110041. The reversal of 10100101110017 is 71001110100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9347841515776 + 752259594241 = 3057424^2 + 867329^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101110017 - 2³⁸ = 9825223203073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100101109983 and 10100101110010.

It is not a weakly prime, because it can be changed into another prime (10100101130017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050555008 + 5050050555009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050555009).

Almost surely, 2^{10100101110017} is an apocalyptic number.

It is an amenable number.

10100101110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101110017 is an equidigital number, since it uses as much as digits as its factorization.

10100101110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10100101110017 its reverse (71001110100101), we get a palindrome (81101211210118).

The spelling of 10100101110017 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, seventeen".