220221211212217 has 2 divisors, whose sum is σ = 220221211212218. Its totient is φ = 220221211212216.

The previous prime is 220221211212187. The next prime is 220221211212241. The reversal of 220221211212217 is 712212112122022.

It is a happy number.

220221211212217 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., 208301703540921 + 11919507671296 = 14432661^2 + 3452464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220221211212217 is a prime.

It is a super-2 number, since 2×220221211212217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220221211212617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110110605606108 + 110110605606109.

It is an arithmetic number, because the mean of its divisors is an integer number (110110605606109).

Almost surely, 2^{220221211212217} is an apocalyptic number.

It is an amenable number.

220221211212217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221211212217 is an equidigital number, since it uses as much as digits as its factorization.

220221211212217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 220221211212217 its reverse (712212112122022), we get a palindrome (932433323334239).

The spelling of 220221211212217 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, two hundred seventeen".