10021001017 has 2 divisors, whose sum is σ = 10021001018. Its totient is φ = 10021001016.

The previous prime is 10021001009. The next prime is 10021001093. The reversal of 10021001017 is 71010012001.

10021001017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10002200121 + 18800896 = 100011^2 + 4336^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021001017 - 2³ = 10021001009 is a prime.

It is a super-2 number, since 2×10021001017² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021000988 and 10021001006.

It is not a weakly prime, because it can be changed into another prime (10021004017) 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, 5010500508 + 5010500509.

It is an arithmetic number, because the mean of its divisors is an integer number (5010500509).

Almost surely, 2^10021001017 is an apocalyptic number.

It is an amenable number.

10021001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021001017 is an equidigital number, since it uses as much as digits as its factorization.

10021001017 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 10021001017 its reverse (71010012001), we get a palindrome (81031013018).

The spelling of 10021001017 in words is "ten billion, twenty-one million, one thousand, seventeen".