110000002112 has 448 divisors, whose sum is σ = 304556550144. Its totient is φ = 38041436160.

The previous prime is 110000002111. The next prime is 110000002139. The reversal of 110000002112 is 211200000011.

110000002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 110000002112.

It is not an unprimeable number, because it can be changed into a prime (110000002111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201096623 + ... + 201097169.

It is an arithmetic number, because the mean of its divisors is an integer number (679813728).

Almost surely, 2^110000002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152278275072).

110000002112 is an abundant number, since it is smaller than the sum of its proper divisors (194556548032).

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

110000002112 is a wasteful number, since it uses less digits than its factorization.

110000002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110000002112 its reverse (211200000011), we get a palindrome (321200002123).

The spelling of 110000002112 in words is "one hundred ten billion, two thousand, one hundred twelve".