221322003241 has 2 divisors, whose sum is σ = 221322003242. Its totient is φ = 221322003240.

The previous prime is 221322003191. The next prime is 221322003247. The reversal of 221322003241 is 142300223122.

221322003241 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., 216778704025 + 4543299216 = 465595^2 + 67404^2 .

It is a cyclic number.

It is not a de Polignac number, because 221322003241 - 2¹¹ = 221322001193 is a prime.

It is a super-3 number, since 3×221322003241³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (221322003247) 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, 110661001620 + 110661001621.

It is an arithmetic number, because the mean of its divisors is an integer number (110661001621).

Almost surely, 2^221322003241 is an apocalyptic number.

It is an amenable number.

221322003241 is a deficient number, since it is larger than the sum of its proper divisors (1).

221322003241 is an equidigital number, since it uses as much as digits as its factorization.

221322003241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221322003241 its reverse (142300223122), we get a palindrome (363622226363).

The spelling of 221322003241 in words is "two hundred twenty-one billion, three hundred twenty-two million, three thousand, two hundred forty-one".