2002110000017 has 2 divisors, whose sum is σ = 2002110000018. Its totient is φ = 2002110000016.

The previous prime is 2002110000001. The next prime is 2002110000047. The reversal of 2002110000017 is 7100000112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1842980014096 + 159129985921 = 1357564^2 + 398911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002110000017 - 2⁴ = 2002110000001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002109999956 and 2002110000010.

It is not a weakly prime, because it can be changed into another prime (2002110000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055000008 + 1001055000009.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055000009).

Almost surely, 2^{2002110000017} is an apocalyptic number.

It is an amenable number.

2002110000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002110000017 is an equidigital number, since it uses as much as digits as its factorization.

2002110000017 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 2002110000017 its reverse (7100000112002), we get a palindrome (9102110112019).

The spelling of 2002110000017 in words is "two trillion, two billion, one hundred ten million, seventeen", and thus it is an aban number.