10017001017 has 6 divisors (see below), whose sum is σ = 14469001482. Its totient is φ = 6678000672.

The previous prime is 10017001003. The next prime is 10017001019. The reversal of 10017001017 is 71010071001.

10017001017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9347795856 + 669205161 = 96684^2 + 25869^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10017001017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10017001019) 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 in 5 ways as a sum of consecutive naturals, for example, 556500048 + ... + 556500065.

It is an arithmetic number, because the mean of its divisors is an integer number (2411500247).

Almost surely, 2^10017001017 is an apocalyptic number.

It is an amenable number.

10017001017 is a deficient number, since it is larger than the sum of its proper divisors (4452000465).

10017001017 is a wasteful number, since it uses less digits than its factorization.

10017001017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113000119 (or 1113000116 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

Adding to 10017001017 its reverse (71010071001), we get a palindrome (81027072018).

The spelling of 10017001017 in words is "ten billion, seventeen million, one thousand, seventeen".