2002000200017 has 2 divisors, whose sum is σ = 2002000200018. Its totient is φ = 2002000200016.

The previous prime is 2002000199989. The next prime is 2002000200037. The reversal of 2002000200017 is 7100020002002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1617363323536 + 384636876481 = 1271756^2 + 620191^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000200017 - 2¹⁰ = 2002000198993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002000199974 and 2002000200010.

It is not a weakly prime, because it can be changed into another prime (2002000200037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000100008 + 1001000100009.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000100009).

Almost surely, 2^{2002000200017} is an apocalyptic number.

It is an amenable number.

2002000200017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000200017 is an equidigital number, since it uses as much as digits as its factorization.

2002000200017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 14.

Adding to 2002000200017 its reverse (7100020002002), we get a palindrome (9102020202019).

The spelling of 2002000200017 in words is "two trillion, two billion, two hundred thousand, seventeen".