10111142441 has 2 divisors, whose sum is σ = 10111142442. Its totient is φ = 10111142440.

The previous prime is 10111142423. The next prime is 10111142443. The reversal of 10111142441 is 14424111101.

10111142441 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., 6719244841 + 3391897600 = 81971^2 + 58240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111142441 is a prime.

It is a Sophie Germain prime.

Together with 10111142443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10111142443) 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, 5055571220 + 5055571221.

It is an arithmetic number, because the mean of its divisors is an integer number (5055571221).

Almost surely, 2^10111142441 is an apocalyptic number.

It is an amenable number.

10111142441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111142441 is an equidigital number, since it uses as much as digits as its factorization.

10111142441 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 20.

Adding to 10111142441 its reverse (14424111101), we get a palindrome (24535253542).

The spelling of 10111142441 in words is "ten billion, one hundred eleven million, one hundred forty-two thousand, four hundred forty-one".