110111141111011 has 32 divisors (see below), whose sum is σ = 118121258158400. Its totient is φ = 102331718945280.

The previous prime is 110111141110979. The next prime is 110111141111063.

It is a happy number.

110111141111011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 110111141111011 - 2⁵ = 110111141110979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111141111071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3970387501 + ... + 3970415233.

It is an arithmetic number, because the mean of its divisors is an integer number (3691289317450).

Almost surely, 2^{110111141111011} is an apocalyptic number.

110111141111011 is a deficient number, since it is larger than the sum of its proper divisors (8010117047389).

110111141111011 is a wasteful number, since it uses less digits than its factorization.

110111141111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36839.

The product of its (nonzero) digits is 4, while the sum is 16.

The spelling of 110111141111011 in words is "one hundred ten trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, eleven".