100111201110191 has 2 divisors, whose sum is σ = 100111201110192. Its totient is φ = 100111201110190.

The previous prime is 100111201110059. The next prime is 100111201110209. The reversal of 100111201110191 is 191011102111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111201110191 - 2³⁰ = 100110127368367 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111201116191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600555095 + 50055600555096.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600555096).

Almost surely, 2^{100111201110191} is an apocalyptic number.

100111201110191 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111201110191 is an equidigital number, since it uses as much as digits as its factorization.

100111201110191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 20.

Adding to 100111201110191 its reverse (191011102111001), we get a palindrome (291122303221192).

The spelling of 100111201110191 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, one hundred ninety-one".