11205741721 has 2 divisors, whose sum is σ = 11205741722. Its totient is φ = 11205741720.

The previous prime is 11205741697. The next prime is 11205741737. The reversal of 11205741721 is 12714750211.

11205741721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10127604496 + 1078137225 = 100636^2 + 32835^2 .

It is a cyclic number.

It is not a de Polignac number, because 11205741721 - 2¹⁹ = 11205217433 is a prime.

It is not a weakly prime, because it can be changed into another prime (11205741751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5602870860 + 5602870861.

It is an arithmetic number, because the mean of its divisors is an integer number (5602870861).

Almost surely, 2^11205741721 is an apocalyptic number.

It is an amenable number.

11205741721 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205741721 is an equidigital number, since it uses as much as digits as its factorization.

11205741721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 31.

The spelling of 11205741721 in words is "eleven billion, two hundred five million, seven hundred forty-one thousand, seven hundred twenty-one".