10321242049 has 2 divisors, whose sum is σ = 10321242050. Its totient is φ = 10321242048.

The previous prime is 10321242037. The next prime is 10321242053. The reversal of 10321242049 is 94024212301.

10321242049 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., 10318496400 + 2745649 = 101580^2 + 1657^2 .

It is a cyclic number.

It is not a de Polignac number, because 10321242049 - 2¹⁵ = 10321209281 is a prime.

It is not a weakly prime, because it can be changed into another prime (10321242059) 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, 5160621024 + 5160621025.

It is an arithmetic number, because the mean of its divisors is an integer number (5160621025).

Almost surely, 2^10321242049 is an apocalyptic number.

It is an amenable number.

10321242049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10321242049 is an equidigital number, since it uses as much as digits as its factorization.

10321242049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10321242049 in words is "ten billion, three hundred twenty-one million, two hundred forty-two thousand, forty-nine".