10110001100991 has 32 divisors (see below), whose sum is σ = 14907410595072. Its totient is φ = 6043131452160.

The previous prime is 10110001100933. The next prime is 10110001101017. The reversal of 10110001100991 is 19900110001101.

It is not a de Polignac number, because 10110001100991 - 2¹⁰ = 10110001099967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110001100291) 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 in 31 ways as a sum of consecutive naturals, for example, 98435821 + ... + 98538473.

It is an arithmetic number, because the mean of its divisors is an integer number (465856581096).

Almost surely, 2^{10110001100991} is an apocalyptic number.

10110001100991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10110001100991 is a deficient number, since it is larger than the sum of its proper divisors (4797409494081).

10110001100991 is a wasteful number, since it uses less digits than its factorization.

10110001100991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143623.

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 10110001100991 in words is "ten trillion, one hundred ten billion, one million, one hundred thousand, nine hundred ninety-one".