110101110012 has 72 divisors (see below), whose sum is σ = 286533338000. Its totient is φ = 35620985088.

The previous prime is 110101109999. The next prime is 110101110013. The reversal of 110101110012 is 210011101011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110101109976 and 110101110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443739 + ... + 645837.

Almost surely, 2^110101110012 is an apocalyptic number.

110101110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143266669000).

110101110012 is an abundant number, since it is smaller than the sum of its proper divisors (176432227988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101110012 is a wasteful number, since it uses less digits than its factorization.

110101110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202555 (or 202550 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101110012 its reverse (210011101011), we get a palindrome (320112211023).

Subtracting 110101110012 from its reverse (210011101011), we obtain a palindrome (99909990999).

The spelling of 110101110012 in words is "one hundred ten billion, one hundred one million, one hundred ten thousand, twelve".