Apple is NOT the biggest tech company around...
While they may have the biggest market cap in the tech world, Microsoft is much larger when it comes to consumer penetration and when it comes to products and services offered. Microsoft is much more diversified, and if any of their products or services were to fail, the rest of their offerings would take up the slack. Apple cannot afford to let any of its iGadgets to fail, otherwise, the stock will take a huge tumble and the "biggest" market cap will no longer be with Apple.
But, again, market cap is not how one judges the size of a company.