221221112017 has 2 divisors, whose sum is σ = 221221112018. Its totient is φ = 221221112016.

The previous prime is 221221112011. The next prime is 221221112023. The reversal of 221221112017 is 710211122122.

It is a balanced prime because it is at equal distance from previous prime (221221112011) and next prime (221221112023).

It can be written as a sum of positive squares in only one way, i.e., 146211405376 + 75009706641 = 382376^2 + 273879^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221112017 - 2¹⁵ = 221221079249 is a prime.

It is not a weakly prime, because it can be changed into another prime (221221112011) 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, 110610556008 + 110610556009.

It is an arithmetic number, because the mean of its divisors is an integer number (110610556009).

Almost surely, 2^221221112017 is an apocalyptic number.

It is an amenable number.

221221112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221112017 is an equidigital number, since it uses as much as digits as its factorization.

221221112017 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 22.

Adding to 221221112017 its reverse (710211122122), we get a palindrome (931432234139).

The spelling of 221221112017 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, seventeen".