221023320017 has 2 divisors, whose sum is σ = 221023320018. Its totient is φ = 221023320016.

The previous prime is 221023319999. The next prime is 221023320019. The reversal of 221023320017 is 710023320122.

221023320017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211313976721 + 9709343296 = 459689^2 + 98536^2 .

It is a cyclic number.

It is not a de Polignac number, because 221023320017 - 2⁸ = 221023319761 is a prime.

Together with 221023320019, 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 = 221023319974 and 221023320001.

It is not a weakly prime, because it can be changed into another prime (221023320019) 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, 110511660008 + 110511660009.

It is an arithmetic number, because the mean of its divisors is an integer number (110511660009).

Almost surely, 2^221023320017 is an apocalyptic number.

It is an amenable number.

221023320017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221023320017 is an equidigital number, since it uses as much as digits as its factorization.

221023320017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 221023320017 its reverse (710023320122), we get a palindrome (931046640139).

The spelling of 221023320017 in words is "two hundred twenty-one billion, twenty-three million, three hundred twenty thousand, seventeen".