10102001017 has 2 divisors, whose sum is σ = 10102001018. Its totient is φ = 10102001016.

The previous prime is 10102000939. The next prime is 10102001047. The reversal of 10102001017 is 71010020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10019209216 + 82791801 = 100096^2 + 9099^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102001017 - 2¹⁵ = 10101968249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102000988 and 10102001006.

It is not a weakly prime, because it can be changed into another prime (10102001047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000508 + 5051000509.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000509).

Almost surely, 2^10102001017 is an apocalyptic number.

It is an amenable number.

10102001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001017 is an equidigital number, since it uses as much as digits as its factorization.

10102001017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10102001017 its reverse (71010020101), we get a palindrome (81112021118).

The spelling of 10102001017 in words is "ten billion, one hundred two million, one thousand, seventeen".