110010011100093 has 16 divisors (see below), whose sum is σ = 175514547624640. Its totient is φ = 67698468369072.

The previous prime is 110010011100071. The next prime is 110010011100103. The reversal of 110010011100093 is 390001110010011.

It is not a de Polignac number, because 110010011100093 - 2⁴⁶ = 39641266922429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010011100193) 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 15 ways as a sum of consecutive naturals, for example, 156709417171 + ... + 156709417872.

It is an arithmetic number, because the mean of its divisors is an integer number (10969659226540).

Almost surely, 2^{110010011100093} is an apocalyptic number.

110010011100093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110010011100093 is a deficient number, since it is larger than the sum of its proper divisors (65504536524547).

110010011100093 is a wasteful number, since it uses less digits than its factorization.

110010011100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313418835065 (or 313418835059 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

The spelling of 110010011100093 in words is "one hundred ten trillion, ten billion, eleven million, one hundred thousand, ninety-three".