110010110112011 has 16 divisors (see below), whose sum is σ = 116338908057600. Its totient is φ = 103735598436288.

The previous prime is 110010110111959. The next prime is 110010110112029. The reversal of 110010110112011 is 110211011010011.

It is a happy number.

It is not a de Polignac number, because 110010110112011 - 2¹⁰ = 110010110110987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110010110111983 and 110010110112001.

It is not an unprimeable number, because it can be changed into a prime (110010110112611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4079015 + ... + 15383711.

It is an arithmetic number, because the mean of its divisors is an integer number (7271181753600).

Almost surely, 2^{110010110112011} is an apocalyptic number.

110010110112011 is a deficient number, since it is larger than the sum of its proper divisors (6328797945589).

110010110112011 is a wasteful number, since it uses less digits than its factorization.

110010110112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11307098.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110010110112011 its reverse (110211011010011), we get a palindrome (220221121122022).

The spelling of 110010110112011 in words is "one hundred ten trillion, ten billion, one hundred ten million, one hundred twelve thousand, eleven".