10101101010017 has 2 divisors, whose sum is σ = 10101101010018. Its totient is φ = 10101101010016.

The previous prime is 10101101009969. The next prime is 10101101010019. The reversal of 10101101010017 is 71001010110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5953019294161 + 4148081715856 = 2439881^2 + 2036684^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101010017 - 2³⁰ = 10100027268193 is a prime.

It is a super-2 number, since 2×10101101010017² (a number of 27 digits) contains 22 as substring.

Together with 10101101010019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101101009983 and 10101101010010.

It is not a weakly prime, because it can be changed into another prime (10101101010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550505008 + 5050550505009.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550505009).

Almost surely, 2^{10101101010017} is an apocalyptic number.

It is an amenable number.

10101101010017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101010017 is an equidigital number, since it uses as much as digits as its factorization.

10101101010017 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 14.

Adding to 10101101010017 its reverse (71001010110101), we get a palindrome (81102111120118).

The spelling of 10101101010017 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, seventeen".