101100011110991 has 2 divisors, whose sum is σ = 101100011110992. Its totient is φ = 101100011110990.

The previous prime is 101100011110979. The next prime is 101100011110993. The reversal of 101100011110991 is 199011110001101.

It is a strong prime.

It is an emirp because it is prime and its reverse (199011110001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100011110991 - 2⁶ = 101100011110927 is a prime.

Together with 101100011110993, 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 101100011110991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100011110993) 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, 50550005555495 + 50550005555496.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005555496).

Almost surely, 2^{101100011110991} is an apocalyptic number.

101100011110991 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011110991 is an equidigital number, since it uses as much as digits as its factorization.

101100011110991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 26.

The spelling of 101100011110991 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred ten thousand, nine hundred ninety-one".