201221221012193 has 2 divisors, whose sum is σ = 201221221012194. Its totient is φ = 201221221012192.

The previous prime is 201221221012183. The next prime is 201221221012213. The reversal of 201221221012193 is 391210122122102.

201221221012193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197153387841424 + 4067833170769 = 14041132^2 + 2016887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201221221012193 is a prime.

It is not a weakly prime, because it can be changed into another prime (201221221012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100610610506096 + 100610610506097.

It is an arithmetic number, because the mean of its divisors is an integer number (100610610506097).

Almost surely, 2^{201221221012193} is an apocalyptic number.

It is an amenable number.

201221221012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

201221221012193 is an equidigital number, since it uses as much as digits as its factorization.

201221221012193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 201221221012193 its reverse (391210122122102), we get a palindrome (592431343134295).

The spelling of 201221221012193 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred ninety-three".