221413240000217 has 2 divisors, whose sum is σ = 221413240000218. Its totient is φ = 221413240000216.

The previous prime is 221413240000207. The next prime is 221413240000241. The reversal of 221413240000217 is 712000042314122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196537295718976 + 24875944281241 = 14019176^2 + 4987579^2 .

It is a cyclic number.

It is not a de Polignac number, because 221413240000217 - 2³² = 221408945032921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221413240000217.

It is not a weakly prime, because it can be changed into another prime (221413240000207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110706620000108 + 110706620000109.

It is an arithmetic number, because the mean of its divisors is an integer number (110706620000109).

Almost surely, 2^{221413240000217} is an apocalyptic number.

It is an amenable number.

221413240000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221413240000217 is an equidigital number, since it uses as much as digits as its factorization.

221413240000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 221413240000217 its reverse (712000042314122), we get a palindrome (933413282314339).

The spelling of 221413240000217 in words is "two hundred twenty-one trillion, four hundred thirteen billion, two hundred forty million, two hundred seventeen", and thus it is an aban number.