101100111000191 has 2 divisors, whose sum is σ = 101100111000192. Its totient is φ = 101100111000190.

The previous prime is 101100111000029. The next prime is 101100111000227. The reversal of 101100111000191 is 191000111001101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100111000191 - 2³⁰ = 101099037258367 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100111000491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055500095 + 50550055500096.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055500096).

Almost surely, 2^{101100111000191} is an apocalyptic number.

101100111000191 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100111000191 is an equidigital number, since it uses as much as digits as its factorization.

101100111000191 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 17.

Adding to 101100111000191 its reverse (191000111001101), we get a palindrome (292100222001292).

The spelling of 101100111000191 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred ninety-one", and thus it is an aban number.