221234413217 has 2 divisors, whose sum is σ = 221234413218. Its totient is φ = 221234413216.

The previous prime is 221234413129. The next prime is 221234413249. The reversal of 221234413217 is 712314432122.

It is an a-pointer prime, because the next prime (221234413249) can be obtained adding 221234413217 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220215271441 + 1019141776 = 469271^2 + 31924^2 .

It is a cyclic number.

It is not a de Polignac number, because 221234413217 - 2²⁰ = 221233364641 is a prime.

It is not a weakly prime, because it can be changed into another prime (221234413817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110617206608 + 110617206609.

It is an arithmetic number, because the mean of its divisors is an integer number (110617206609).

Almost surely, 2^221234413217 is an apocalyptic number.

It is an amenable number.

221234413217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221234413217 is an equidigital number, since it uses as much as digits as its factorization.

221234413217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16128, while the sum is 32.

Adding to 221234413217 its reverse (712314432122), we get a palindrome (933548845339).

The spelling of 221234413217 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred seventeen".