1021000002017 has 2 divisors, whose sum is σ = 1021000002018. Its totient is φ = 1021000002016.

The previous prime is 1021000001947. The next prime is 1021000002041. The reversal of 1021000002017 is 7102000001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874690692001 + 146309310016 = 935249^2 + 382504^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021000002017 - 2¹⁸ = 1020999739873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021000001992 and 1021000002010.

It is not a weakly prime, because it can be changed into another prime (1021000082017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500001008 + 510500001009.

It is an arithmetic number, because the mean of its divisors is an integer number (510500001009).

Almost surely, 2^{1021000002017} is an apocalyptic number.

It is an amenable number.

1021000002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021000002017 is an equidigital number, since it uses as much as digits as its factorization.

1021000002017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 1021000002017 its reverse (7102000001201), we get a palindrome (8123000003218).

The spelling of 1021000002017 in words is "one trillion, twenty-one billion, two thousand, seventeen".