110110211111011 has 8 divisors (see below), whose sum is σ = 112671131863664. Its totient is φ = 107549300275200.

The previous prime is 110110211110979. The next prime is 110110211111023. The reversal of 110110211111011 is 110111112011011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110110211111011 - 2⁵ = 110110211110979 is a prime.

It is a super-2 number, since 2×110110211111011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110211110982 and 110110211111000.

It is not an unprimeable number, because it can be changed into a prime (110110211151011) 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 7 ways as a sum of consecutive naturals, for example, 22994455 + ... + 27367231.

It is an arithmetic number, because the mean of its divisors is an integer number (14083891482958).

Almost surely, 2^{110110211111011} is an apocalyptic number.

110110211111011 is a deficient number, since it is larger than the sum of its proper divisors (2560920752653).

110110211111011 is an equidigital number, since it uses as much as digits as its factorization.

110110211111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958421.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 110110211111011 its reverse (110111112011011), we get a palindrome (220221323122022).

The spelling of 110110211111011 in words is "one hundred ten trillion, one hundred ten billion, two hundred eleven million, one hundred eleven thousand, eleven".