110110110000011 has 48 divisors (see below), whose sum is σ = 134255500081920. Its totient is φ = 89810448552000.

The previous prime is 110110109999947. The next prime is 110110110000013. The reversal of 110110110000011 is 110000011011011.

It is not a de Polignac number, because 110110110000011 - 2⁶ = 110110109999947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110110110000013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4968245 + ... + 15649398.

It is an arithmetic number, because the mean of its divisors is an integer number (2796989585040).

Almost surely, 2^{110110110000011} is an apocalyptic number.

110110110000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110110110000011 is a deficient number, since it is larger than the sum of its proper divisors (24145390081909).

110110110000011 is a wasteful number, since it uses less digits than its factorization.

110110110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20617808 (or 20617797 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110110110000011 its reverse (110000011011011), we get a palindrome (220110121011022).

The spelling of 110110110000011 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, eleven", and thus it is an aban number.