221022102210193 has 2 divisors, whose sum is σ = 221022102210194. Its totient is φ = 221022102210192.

The previous prime is 221022102210083. The next prime is 221022102210211. The reversal of 221022102210193 is 391012201220122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178111899064449 + 42910203145744 = 13345857^2 + 6550588^2 .

It is a cyclic number.

It is not a de Polignac number, because 221022102210193 - 2²⁵ = 221022068655761 is a prime.

It is not a weakly prime, because it can be changed into another prime (221022102210593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511051105096 + 110511051105097.

It is an arithmetic number, because the mean of its divisors is an integer number (110511051105097).

Almost surely, 2^{221022102210193} is an apocalyptic number.

It is an amenable number.

221022102210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022102210193 is an equidigital number, since it uses as much as digits as its factorization.

221022102210193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 221022102210193 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred ten thousand, one hundred ninety-three".