110110000011011 has 96 divisors (see below), whose sum is σ = 150482716906368. Its totient is φ = 78390892800000.

The previous prime is 110110000010981. The next prime is 110110000011023.

110110000011011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110110000011011 - 2²⁶ = 110109932902147 is a prime.

110110000011011 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 110110000011011.

It is not an unprimeable number, because it can be changed into a prime (110110000011041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3937971071 + ... + 3937999031.

It is an arithmetic number, because the mean of its divisors is an integer number (1567528301108).

Almost surely, 2^{110110000011011} is an apocalyptic number.

110110000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110110000011011 is a deficient number, since it is larger than the sum of its proper divisors (40372716895357).

110110000011011 is a wasteful number, since it uses less digits than its factorization.

110110000011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31645 (or 31634 counting only the distinct ones).

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

It can be divided in two parts, 1101100000 and 11011, that added together give a palindrome (1101111011).

The spelling of 110110000011011 in words is "one hundred ten trillion, one hundred ten billion, eleven thousand, eleven".