110011100109991 has 2 divisors, whose sum is σ = 110011100109992. Its totient is φ = 110011100109990.

The previous prime is 110011100109973. The next prime is 110011100110033. The reversal of 110011100109991 is 199901001110011.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 110011100109991 - 2¹⁷ = 110011099978919 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110011100109971) 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, 55005550054995 + 55005550054996.

It is an arithmetic number, because the mean of its divisors is an integer number (55005550054996).

Almost surely, 2^{110011100109991} is an apocalyptic number.

110011100109991 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011100109991 is an equidigital number, since it uses as much as digits as its factorization.

110011100109991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 34.

The spelling of 110011100109991 in words is "one hundred ten trillion, eleven billion, one hundred million, one hundred nine thousand, nine hundred ninety-one".