110112101211011 has 16 divisors (see below), whose sum is σ = 110818800000000. Its totient is φ = 109407549228096.

The previous prime is 110112101210921. The next prime is 110112101211019.

110112101211011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110112101211011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110112101211019) 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 15 ways as a sum of consecutive naturals, for example, 554345090 + ... + 554543688.

It is an arithmetic number, because the mean of its divisors is an integer number (6926175000000).

Almost surely, 2^{110112101211011} is an apocalyptic number.

110112101211011 is a deficient number, since it is larger than the sum of its proper divisors (706698788989).

110112101211011 is a wasteful number, since it uses less digits than its factorization.

110112101211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203986.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 11011210 and 1211011, that added together give a palindrome (12222221).

The spelling of 110112101211011 in words is "one hundred ten trillion, one hundred twelve billion, one hundred one million, two hundred eleven thousand, eleven".