105511011650111 has 2 divisors, whose sum is σ = 105511011650112. Its totient is φ = 105511011650110.

The previous prime is 105511011650087. The next prime is 105511011650113. The reversal of 105511011650111 is 111056110115501.

It is a strong prime.

It is an emirp because it is prime and its reverse (111056110115501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105511011650111 - 2⁶ = 105511011650047 is a prime.

It is a super-2 number, since 2×105511011650111² (a number of 29 digits) contains 22 as substring.

Together with 105511011650113, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105511011650113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52755505825055 + 52755505825056.

It is an arithmetic number, because the mean of its divisors is an integer number (52755505825056).

Almost surely, 2^{105511011650111} is an apocalyptic number.

105511011650111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105511011650111 is an equidigital number, since it uses as much as digits as its factorization.

105511011650111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 29.

Adding to 105511011650111 its reverse (111056110115501), we get a palindrome (216567121765612).

The spelling of 105511011650111 in words is "one hundred five trillion, five hundred eleven billion, eleven million, six hundred fifty thousand, one hundred eleven".