221323210117 has 2 divisors, whose sum is σ = 221323210118. Its totient is φ = 221323210116.

The previous prime is 221323210037. The next prime is 221323210123. The reversal of 221323210117 is 711012323122.

221323210117 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., 112824779236 + 108498430881 = 335894^2 + 329391^2 .

It is a cyclic number.

It is not a de Polignac number, because 221323210117 - 2²³ = 221314821509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221323210091 and 221323210100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221323216117) 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, 110661605058 + 110661605059.

It is an arithmetic number, because the mean of its divisors is an integer number (110661605059).

Almost surely, 2^221323210117 is an apocalyptic number.

It is an amenable number.

221323210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221323210117 is an equidigital number, since it uses as much as digits as its factorization.

221323210117 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 25.

Adding to 221323210117 its reverse (711012323122), we get a palindrome (932335533239).

The spelling of 221323210117 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred ten thousand, one hundred seventeen".