10204263635441 has 2 divisors, whose sum is σ = 10204263635442. Its totient is φ = 10204263635440.

The previous prime is 10204263635393. The next prime is 10204263635443. The reversal of 10204263635441 is 14453636240201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5685344284816 + 4518919350625 = 2384396^2 + 2125775^2 .

It is an emirp because it is prime and its reverse (14453636240201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10204263635441 is a prime.

Together with 10204263635443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10204263635443) 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, 5102131817720 + 5102131817721.

It is an arithmetic number, because the mean of its divisors is an integer number (5102131817721).

Almost surely, 2^{10204263635441} is an apocalyptic number.

It is an amenable number.

10204263635441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204263635441 is an equidigital number, since it uses as much as digits as its factorization.

10204263635441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 10204263635441 its reverse (14453636240201), we get a palindrome (24657899875642).

The spelling of 10204263635441 in words is "ten trillion, two hundred four billion, two hundred sixty-three million, six hundred thirty-five thousand, four hundred forty-one".