That situation is not rather unique at all. Most developed nations issue debt in a currency controlled by their central bank, with the notable exception of the Eurozone.
Japan, South Korea, Taiwan, Singapore, England, Russia, Canada, Australia, Switzerland, Iceland, Israel, Sweden, Norway, Denmark, New Zealand, and arguably PRC, Brazil, Argentina, Turkey, India, Mexico, Indonesia, Qatar, and Chile, are all developed nations not in the US or Eurozone.
You are, however, correct that most of these countries issue their debt in US dollars ("sovereign debt") rather than their national currencies.