2100000017 has 2 divisors, whose sum is σ = 2100000018. Its totient is φ = 2100000016.

The previous prime is 2100000011. The next prime is 2100000053. The reversal of 2100000017 is 7100000012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1135959616 + 964040401 = 33704^2 + 31049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100000017 - 2¹⁶ = 2099934481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2099999953 and 2100000007.

It is not a weakly prime, because it can be changed into another prime (2100000011) 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, 1050000008 + 1050000009.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000009).

Almost surely, 2^2100000017 is an apocalyptic number.

It is an amenable number.

2100000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000017 is an equidigital number, since it uses as much as digits as its factorization.

2100000017 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 11.

The square root of 2100000017 is about 45825.7571350436. The cubic root of 2100000017 is about 1280.5791684430.

Adding to 2100000017 its reverse (7100000012), we get a palindrome (9200000029).

The spelling of 2100000017 in words is "two billion, one hundred million, seventeen", and thus it is an aban number.