SAN FRANCISCO (TheStreet) -- Apple (AAPL) - Get Report has raised its global shipment order for iPhones for the first quarter of 2011, according to a report in DigiTimes.

Apple has told supply partners it wants 20 to 21 million units, exceeding the original quote of 19 million, said the report.

Global iPhone shipments in the fourth quarter of 2010 are estimated to hit 15.5 million units, resulting in a total of 47 million units for the entire 2010, the sources said.

Of the some 20 million iPhones Apple has called for, 5 to 6 million are CDMA-based, which means they could run on

Verizon's

(VZ) - Get Report

network.

The long-awaited arrival of a

Verizon iPhone

, which would pair the wildly popular phone with the nation's largest wireless shop, is still essentially a rumor.

However, numerous reports have pegged the phone to hit Verizon within the first months of the new year, and analysts have already started

rolling out estimates

. Piper Jaffray analyst Gene Munster predicted that Apple will sell 9 million iPhones at Verizon next year, while Merrill Lynch is expecting 10 million Verizon iPhones to be sold.

--Written by Maggie Overfelt in San Francisco.

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