210221000100193 has 2 divisors, whose sum is σ = 210221000100194. Its totient is φ = 210221000100192.

The previous prime is 210221000100157. The next prime is 210221000100227. The reversal of 210221000100193 is 391001000122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180275950649344 + 29945049450849 = 13426688^2 + 5472207^2 .

It is a cyclic number.

It is not a de Polignac number, because 210221000100193 - 2¹⁷ = 210220999969121 is a prime.

It is not a weakly prime, because it can be changed into another prime (210221000100143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105110500050096 + 105110500050097.

It is an arithmetic number, because the mean of its divisors is an integer number (105110500050097).

Almost surely, 2^{210221000100193} is an apocalyptic number.

It is an amenable number.

210221000100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

210221000100193 is an equidigital number, since it uses as much as digits as its factorization.

210221000100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 210221000100193 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred thousand, one hundred ninety-three".