2001002001017 has 2 divisors, whose sum is σ = 2001002001018. Its totient is φ = 2001002001016.

The previous prime is 2001002001001. The next prime is 2001002001043. The reversal of 2001002001017 is 7101002001002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1812836045056 + 188165955961 = 1346416^2 + 433781^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002001017 - 2⁴ = 2001002001001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001002000992 and 2001002001010.

It is not a weakly prime, because it can be changed into another prime (2001007001017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000501000508 + 1000501000509.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501000509).

Almost surely, 2^{2001002001017} is an apocalyptic number.

It is an amenable number.

2001002001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002001017 is an equidigital number, since it uses as much as digits as its factorization.

2001002001017 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 2001002001017 its reverse (7101002001002), we get a palindrome (9102004002019).

The spelling of 2001002001017 in words is "two trillion, one billion, two million, one thousand, seventeen".