220221120289 has 2 divisors, whose sum is σ = 220221120290. Its totient is φ = 220221120288.

The previous prime is 220221120233. The next prime is 220221120311. The reversal of 220221120289 is 982021122022.

220221120289 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., 187633649889 + 32587470400 = 433167^2 + 180520^2 .

It is a cyclic number.

It is not a de Polignac number, because 220221120289 - 2¹⁷ = 220220989217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220221120289.

It is not a weakly prime, because it can be changed into another prime (220221120209) 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, 110110560144 + 110110560145.

It is an arithmetic number, because the mean of its divisors is an integer number (110110560145).

Almost surely, 2^220221120289 is an apocalyptic number.

It is an amenable number.

220221120289 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221120289 is an equidigital number, since it uses as much as digits as its factorization.

220221120289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 220221120289 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred eighty-nine".