210221120220113 has 2 divisors, whose sum is σ = 210221120220114. Its totient is φ = 210221120220112.

The previous prime is 210221120220077. The next prime is 210221120220173. The reversal of 210221120220113 is 311022021122012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184046313578689 + 26174806641424 = 13566367^2 + 5116132^2 .

It is a cyclic number.

It is not a de Polignac number, because 210221120220113 - 2¹⁴ = 210221120203729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (210221120220173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105110560110056 + 105110560110057.

It is an arithmetic number, because the mean of its divisors is an integer number (105110560110057).

Almost surely, 2^{210221120220113} is an apocalyptic number.

It is an amenable number.

210221120220113 is a deficient number, since it is larger than the sum of its proper divisors (1).

210221120220113 is an equidigital number, since it uses as much as digits as its factorization.

210221120220113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 210221120220113 its reverse (311022021122012), we get a palindrome (521243141342125).

The spelling of 210221120220113 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty thousand, one hundred thirteen".