While Obama is the most popular head of state on Twitter, he is not the only one using the microblogging tool on a regular basis. A study earlier this year even found that he is not the most engaged leader on Twitter, either.

The Prime Ministers of the United Kingdom and Australia — both well-established in the Twittersphere — headed to Twitter to publicly acknowledge the results of the election as well as the ongoing relationship between their countries and the United States.

Dmitry Medvedev, prime minister of Russia, whose relationship with Obama has sometimes been hotly criticized by Russia's detractors, tweeted: "Congratulations!"

Obama's congratulatory tweets poured in from other nations, including tweets from Colombia's President Juan Manuel Santos, Haiti's President Michel Martelly, the president of the Republic of Chile and the prime ministers of Malaysia and Norway.

Argentina's President Cristina Fernández de Kirchner called Obama's victory "flawless."

Unlike many Americans, Lebanon's Prime Minister Najib Mikati thought the "respect & civility in US elections debates was impressive."

Israeli Prime Minister Benjamin Netanyahu, the prime ministers of Canada and New Zealand, Estonian President Toomas Ilves, the office of the president of Mexico and Herman Van Rompuy, the President of the European Council, also tweeted out official congratulations in the form of press releases or video messages.