110000111001 has 16 divisors (see below), whose sum is σ = 164324491968. Its totient is φ = 64864929600.

The previous prime is 110000110991. The next prime is 110000111009. The reversal of 110000111001 is 100111000011.

It is not a de Polignac number, because 110000111001 - 2⁹ = 110000110489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110000111009) 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 15 ways as a sum of consecutive naturals, for example, 45043870 + ... + 45046311.

It is an arithmetic number, because the mean of its divisors is an integer number (10270280748).

Almost surely, 2^110000111001 is an apocalyptic number.

110000111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000111001 is a deficient number, since it is larger than the sum of its proper divisors (54324380967).

110000111001 is a wasteful number, since it uses less digits than its factorization.

110000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90090232.

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

Adding to 110000111001 its reverse (100111000011), we get a palindrome (210111111012).

It can be divided in two parts, 11000011 and 1001, that multiplied together give a palindrome (11011011011).

The spelling of 110000111001 in words is "one hundred ten billion, one hundred eleven thousand, one".