110111111111001 has 256 divisors, whose sum is σ = 204681043574784. Its totient is φ = 50808384000000.

The previous prime is 110111111110933. The next prime is 110111111111009. The reversal of 110111111111001 is 100111111111011.

It is not a de Polignac number, because 110111111111001 - 2⁹ = 110111111110489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110111111111009) 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 255 ways as a sum of consecutive naturals, for example, 11121206151 + ... + 11121216051.

It is an arithmetic number, because the mean of its divisors is an integer number (799535326464).

Almost surely, 2^{110111111111001} is an apocalyptic number.

110111111111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111111111001 is a deficient number, since it is larger than the sum of its proper divisors (94569932463783).

110111111111001 is a wasteful number, since it uses less digits than its factorization.

110111111111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11064.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 110111111111001 its reverse (100111111111011), we get a palindrome (210222222222012).

It can be divided in two parts, 110 and 111111111001, that added together give a palindrome (111111111111).

The spelling of 110111111111001 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one".