21010012002017 has 2 divisors, whose sum is σ = 21010012002018. Its totient is φ = 21010012002016.

The previous prime is 21010012001987. The next prime is 21010012002019. The reversal of 21010012002017 is 71020021001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19708840607296 + 1301171394721 = 4439464^2 + 1140689^2 .

It is a cyclic number.

It is not a de Polignac number, because 21010012002017 - 2²⁸ = 21009743566561 is a prime.

Together with 21010012002019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 21010012001986 and 21010012002004.

It is not a weakly prime, because it can be changed into another prime (21010012002019) 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, 10505006001008 + 10505006001009.

It is an arithmetic number, because the mean of its divisors is an integer number (10505006001009).

Almost surely, 2^{21010012002017} is an apocalyptic number.

It is an amenable number.

21010012002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21010012002017 is an equidigital number, since it uses as much as digits as its factorization.

21010012002017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 21010012002017 its reverse (71020021001012), we get a palindrome (92030033003029).

The spelling of 21010012002017 in words is "twenty-one trillion, ten billion, twelve million, two thousand, seventeen".