10211221200241 has 2 divisors, whose sum is σ = 10211221200242. Its totient is φ = 10211221200240.

The previous prime is 10211221200221. The next prime is 10211221200311. The reversal of 10211221200241 is 14200212211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9411396840000 + 799824360241 = 3067800^2 + 894329^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211221200241 - 2¹⁵ = 10211221167473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211221200211) 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, 5105610600120 + 5105610600121.

It is an arithmetic number, because the mean of its divisors is an integer number (5105610600121).

Almost surely, 2^{10211221200241} is an apocalyptic number.

It is an amenable number.

10211221200241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211221200241 is an equidigital number, since it uses as much as digits as its factorization.

10211221200241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10211221200241 its reverse (14200212211201), we get a palindrome (24411433411442).

The spelling of 10211221200241 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, two hundred thousand, two hundred forty-one".