Historical Statistics on Worldwide GDP?

Penn World Tables probably doesn't have complete data for 2010 but it has most of what you want:

http://pwt.econ.upenn.edu/

(Note that developing countries aren't able to provide data in as timely a manner as the developed countries. Even the developed world is still updating their 2010 GDP numbers.)

http://www.economy-news.co.uk/uk-gdp-29201103.html

The OECD doesn't keep data for every country, but it does have more current data:

http://stats.oecd.org/Index.aspx?QueryId=23238

Then there is the U.N. database:

http://data.un.org/Browse.aspx?d=SNA

The World Bank database:

http://data.worldbank.org/

The IMF database:

http://elibrary-data.imf.org/DataReport.aspx?c=144...

etc.

You also haven't mentioned whether you want summary data (a data series for the world as a whole) or more detailed data for the entire world (by country, by region, etc.)