110111000000001 has 256 divisors, whose sum is σ = 203389917265920. Its totient is φ = 51135270865920.

The previous prime is 110110999999967. The next prime is 110111000000041. The reversal of 110111000000001 is 100000000111011.

It is not a de Polignac number, because 110111000000001 - 2¹⁰ = 110110999998977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110111000000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30938745060 + ... + 30938748618.

It is an arithmetic number, because the mean of its divisors is an integer number (794491864320).

Almost surely, 2^{110111000000001} is an apocalyptic number.

110111000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111000000001 is a deficient number, since it is larger than the sum of its proper divisors (93278917265919).

110111000000001 is a wasteful number, since it uses less digits than its factorization.

110111000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110111000000001 its reverse (100000000111011), we get a palindrome (210111000111012).

It can be divided in two parts, 11011 and 1000000001, that multiplied together give a palindrome (11011000011011).

The spelling of 110111000000001 in words is "one hundred ten trillion, one hundred eleven billion, one", and thus it is an aban number.