110110100011011 has 6 divisors (see below), whose sum is σ = 159047922238140. Its totient is φ = 73406733340668.

The previous prime is 110110100010997. The next prime is 110110100011063. The reversal of 110110100011011 is 110110001011011.

It is not a de Polignac number, because 110110100011011 - 2⁶ = 110110100010947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12234455556779 = 110110100011011 / (1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 110110100010984 and 110110100011002.

It is not an unprimeable number, because it can be changed into a prime (110110100511011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6117227778381 + ... + 6117227778398.

It is an arithmetic number, because the mean of its divisors is an integer number (26507987039690).

Almost surely, 2^{110110100011011} is an apocalyptic number.

110110100011011 is a deficient number, since it is larger than the sum of its proper divisors (48937822227129).

110110100011011 is a wasteful number, since it uses less digits than its factorization.

110110100011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234455556785 (or 12234455556782 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110110100011011 its reverse (110110001011011), we get a palindrome (220220101022022).

The spelling of 110110100011011 in words is "one hundred ten trillion, one hundred ten billion, one hundred million, eleven thousand, eleven".