10111265441 has 2 divisors, whose sum is σ = 10111265442. Its totient is φ = 10111265440.

The previous prime is 10111265393. The next prime is 10111265447. The reversal of 10111265441 is 14456211101.

10111265441 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., 9154662400 + 956603041 = 95680^2 + 30929^2 .

It is an emirp because it is prime and its reverse (14456211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111265441 - 2⁶ = 10111265377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111265441.

It is not a weakly prime, because it can be changed into another prime (10111265447) 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, 5055632720 + 5055632721.

It is an arithmetic number, because the mean of its divisors is an integer number (5055632721).

Almost surely, 2^10111265441 is an apocalyptic number.

It is an amenable number.

10111265441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111265441 is an equidigital number, since it uses as much as digits as its factorization.

10111265441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 10111265441 its reverse (14456211101), we get a palindrome (24567476542).

The spelling of 10111265441 in words is "ten billion, one hundred eleven million, two hundred sixty-five thousand, four hundred forty-one".