110111103311011 has 32 divisors (see below), whose sum is σ = 121038665529600. Its totient is φ = 99340126807680.

The previous prime is 110111103310981. The next prime is 110111103311047. The reversal of 110111103311011 is 110113301111011.

It is a happy number.

It is not a de Polignac number, because 110111103311011 - 2¹¹ = 110111103308963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111103311051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790203301 + ... + 790342633.

It is an arithmetic number, because the mean of its divisors is an integer number (3782458297800).

Almost surely, 2^{110111103311011} is an apocalyptic number.

110111103311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110111103311011 is a deficient number, since it is larger than the sum of its proper divisors (10927562218589).

110111103311011 is a wasteful number, since it uses less digits than its factorization.

110111103311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140659.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 110111103311011 its reverse (110113301111011), we get a palindrome (220224404422022).

The spelling of 110111103311011 in words is "one hundred ten trillion, one hundred eleven billion, one hundred three million, three hundred eleven thousand, eleven".