11112121111841 has 2 divisors, whose sum is σ = 11112121111842. Its totient is φ = 11112121111840.

The previous prime is 11112121111783. The next prime is 11112121111843. The reversal of 11112121111841 is 14811112121111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7804178611216 + 3307942500625 = 2793596^2 + 1818775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11112121111841 is a prime.

Together with 11112121111843, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11112121111841.

It is not a weakly prime, because it can be changed into another prime (11112121111843) 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, 5556060555920 + 5556060555921.

It is an arithmetic number, because the mean of its divisors is an integer number (5556060555921).

Almost surely, 2^{11112121111841} is an apocalyptic number.

It is an amenable number.

11112121111841 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112121111841 is an equidigital number, since it uses as much as digits as its factorization.

11112121111841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 26.

Adding to 11112121111841 its reverse (14811112121111), we get a palindrome (25923233232952).

The spelling of 11112121111841 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, eight hundred forty-one".