Need scalable database solution for very big automated data entry database
"Is MySQL suitable for distributing or cluster databases ?" 


While you certainly can do manually sharding, the truth is that the most common MySQL cluster technologies are focused in high availability. NDB Cluster is based mainly on a memory database with lots of throughput, but not necessarily low-latency and large datasets. Galera does not support autosharding (only does read scaling).


  "Is there any easy to use database which support clustering and distributing systems?" (I know MySQL have a cluster version but i don't know if it is appropriate in my project).


Other people may give you better advice about other databases, but beware:


Many vendors that criticize the relational and transactional database model sometimes forget to tell you ideas like "eventually consistent" or the possibility of data loss in exchange for better performance (I look at you, NoSQL).
Can you use a non-distributed database? There are datawarehousing/highly compressed solutions for MySQL (InfiniDB, TokuDB). Even InnoDB has a memcached interface (allowing you even 1M Querys Per Second), which may help in reducing latency for the SQL (although not memory requirements and disk space).


If you tell us more about how you are going to use your logs (statistics, historic data?), we may be able to tell you if a relational database is better for you, or you have to go for other paradigm like column-based databases, or map-reduce, etc. Even then, you should try any product for yourself.