11111000010041 has 2 divisors, whose sum is σ = 11111000010042. Its totient is φ = 11111000010040.

The previous prime is 11111000010037. The next prime is 11111000010043. The reversal of 11111000010041 is 14001000011111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8968228090000 + 2142771920041 = 2994700^2 + 1463821^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111000010041 - 2² = 11111000010037 is a prime.

It is a super-2 number, since 2×11111000010041² (a number of 27 digits) contains 22 as substring.

Together with 11111000010043, 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 (11111000010043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555500005020 + 5555500005021.

It is an arithmetic number, because the mean of its divisors is an integer number (5555500005021).

Almost surely, 2^{11111000010041} is an apocalyptic number.

It is an amenable number.

11111000010041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111000010041 is an equidigital number, since it uses as much as digits as its factorization.

11111000010041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11111000010041 its reverse (14001000011111), we get a palindrome (25112000021152).

The spelling of 11111000010041 in words is "eleven trillion, one hundred eleven billion, ten thousand, forty-one".