200221120002017 has 2 divisors, whose sum is σ = 200221120002018. Its totient is φ = 200221120002016.

The previous prime is 200221120001999. The next prime is 200221120002019. The reversal of 200221120002017 is 710200021122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114405186113296 + 85815933888721 = 10696036^2 + 9263689^2 .

It is a cyclic number.

It is not a de Polignac number, because 200221120002017 - 2³⁰ = 200220046260193 is a prime.

Together with 200221120002019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200221120002017.

It is not a weakly prime, because it can be changed into another prime (200221120002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100110560001008 + 100110560001009.

It is an arithmetic number, because the mean of its divisors is an integer number (100110560001009).

Almost surely, 2^{200221120002017} is an apocalyptic number.

It is an amenable number.

200221120002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221120002017 is an equidigital number, since it uses as much as digits as its factorization.

200221120002017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 200221120002017 its reverse (710200021122002), we get a palindrome (910421141124019).

The spelling of 200221120002017 in words is "two hundred trillion, two hundred twenty-one billion, one hundred twenty million, two thousand, seventeen".