10111004041 has 2 divisors, whose sum is σ = 10111004042. Its totient is φ = 10111004040.

The previous prime is 10111004039. The next prime is 10111004087. The reversal of 10111004041 is 14040011101.

10111004041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7365244041 + 2745760000 = 85821^2 + 52400^2 .

It is an emirp because it is prime and its reverse (14040011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111004041 - 2¹ = 10111004039 is a prime.

Together with 10111004039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10111004441) 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, 5055502020 + 5055502021.

It is an arithmetic number, because the mean of its divisors is an integer number (5055502021).

Almost surely, 2^10111004041 is an apocalyptic number.

It is an amenable number.

10111004041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111004041 is an equidigital number, since it uses as much as digits as its factorization.

10111004041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10111004041 its reverse (14040011101), we get a palindrome (24151015142).

The spelling of 10111004041 in words is "ten billion, one hundred eleven million, four thousand, forty-one".