220121202193 has 2 divisors, whose sum is σ = 220121202194. Its totient is φ = 220121202192.

The previous prime is 220121202139. The next prime is 220121202209. The reversal of 220121202193 is 391202121022.

220121202193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (220121202139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217060014609 + 3061187584 = 465897^2 + 55328^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121202193 - 2¹³ = 220121194001 is a prime.

It is not a weakly prime, because it can be changed into another prime (220121002193) 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, 110060601096 + 110060601097.

It is an arithmetic number, because the mean of its divisors is an integer number (110060601097).

Almost surely, 2^220121202193 is an apocalyptic number.

It is an amenable number.

220121202193 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121202193 is an equidigital number, since it uses as much as digits as its factorization.

220121202193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 220121202193 in words is "two hundred twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred ninety-three".