SQLite has a mechanism for storing a lot of text in a database, it's called FTS (short for full text search). Android supports all SQLite commands, so you can easily just use FTS3.
How is explained in the documentation linked above.
Example for creating a table:
CREATE VIRTUAL TABLE enrondata1 USING fts3(content TEXT); /* FTS3 table */
CREATE TABLE enrondata2(content TEXT); /* Ordinary table */
Query:
SELECT count(*) FROM enrondata1 WHERE content MATCH 'linux'; /* 0.03 seconds */
SELECT count(*) FROM enrondata2 WHERE content LIKE '%linux%'; /* 22.5 seconds */