Headline is wrong. 2 data points that the article is based on: 1) Google has spent 21 billion dollars on Capital Expenditures since 2006 (presumably gathered from SEC filings) and 2) "Google says the majority of its capital investments are for IT infrastructure, including data enters, servers, and networking equipment." (source unclear)
So, Google has spent at least 10.5 billion on "data centers" since 2006. There are notable disclosed expenditures that are clearly not "data centers" mentioned in the article, including 2 billion spent to purchase NYC office space. Still a huge number, but off by many, many billions.