10223221120289 has 2 divisors, whose sum is σ = 10223221120290. Its totient is φ = 10223221120288.

The previous prime is 10223221120279. The next prime is 10223221120309. The reversal of 10223221120289 is 98202112232201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7449580689664 + 2773640430625 = 2729392^2 + 1665425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223221120289 - 2¹² = 10223221116193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223221120279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111610560144 + 5111610560145.

It is an arithmetic number, because the mean of its divisors is an integer number (5111610560145).

Almost surely, 2^{10223221120289} is an apocalyptic number.

It is an amenable number.

10223221120289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223221120289 is an equidigital number, since it uses as much as digits as its factorization.

10223221120289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10223221120289 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred twenty thousand, two hundred eighty-nine".