As a matter of country-to-country net immigration, does the United States gain immigrants from Germany, or does Germany gain immigrants from the United States?

As a matter of country-to-country net immigration, does the United States gain immigrants from Germany, or does Germany gain immigrants from the United States? It is hard to find comparable statistics, but Germany claimed to have about 100,000 US citizens living there total in 2011[1]. In 2011, over 600,000 people who were born in Germany resided in the US[2]. 1. https://www.destatis.de/DE/Publikationen/Thematisch/Bevoelkerung/MigrationIntegration/AuslaendBevoelkerung2010200117004.pdf?__blob=publicationFile https://www.destatis.de/DE/Publikationen/Thematisch/Bevoelke... 2. http://www.pewhispanic.org/files/2013/01/PHC-2011-FB-Stat-Profiles.pdf http://www.pewhispanic.org/files/2013/01/PHC-2011-FB-Stat-Pr...