21110220017017 has 2 divisors, whose sum is σ = 21110220017018. Its totient is φ = 21110220017016.

The previous prime is 21110220016957. The next prime is 21110220017041. The reversal of 21110220017017 is 71071002201112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18935822043961 + 2174397973056 = 4351531^2 + 1474584^2 .

It is a cyclic number.

It is not a de Polignac number, because 21110220017017 - 2¹⁹ = 21110219492729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21110220016982 and 21110220017000.

It is not a weakly prime, because it can be changed into another prime (21110220017087) 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, 10555110008508 + 10555110008509.

It is an arithmetic number, because the mean of its divisors is an integer number (10555110008509).

Almost surely, 2^{21110220017017} is an apocalyptic number.

It is an amenable number.

21110220017017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21110220017017 is an equidigital number, since it uses as much as digits as its factorization.

21110220017017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 21110220017017 its reverse (71071002201112), we get a palindrome (92181222218129).

The spelling of 21110220017017 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty million, seventeen thousand, seventeen".