110221112212217 has 2 divisors, whose sum is σ = 110221112212218. Its totient is φ = 110221112212216.

The previous prime is 110221112212117. The next prime is 110221112212223. The reversal of 110221112212217 is 712212211122011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96335383173481 + 13885729038736 = 9815059^2 + 3726356^2 .

It is an emirp because it is prime and its reverse (712212211122011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110221112212217 - 2²⁰ = 110221111163641 is a prime.

It is not a weakly prime, because it can be changed into another prime (110221112212117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55110556106108 + 55110556106109.

It is an arithmetic number, because the mean of its divisors is an integer number (55110556106109).

Almost surely, 2^{110221112212217} is an apocalyptic number.

It is an amenable number.

110221112212217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221112212217 is an equidigital number, since it uses as much as digits as its factorization.

110221112212217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 26.

Adding to 110221112212217 its reverse (712212211122011), we get a palindrome (822433323334228).

The spelling of 110221112212217 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand, two hundred seventeen".