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All the commonly-used numbers represented by a single character that are above 99 and their numerical values (American English included):
• 百/백 (100/one hundred)
• 千/천 (1,000/one thousand)
• 萬/만 (10,000/ten thousand)
• 億/억 (100,000,000/one hundred million)
• 兆/조 (1,000,000,000,000/one trillion)
• 京/경 (10,000,000,000,000,000/ten quadrillion)
• 垓/해 (100,000,000,000,000,000,000/one hundred quintillion)
Like English and many other languages, once the values are too big to be of any practical value, there are simply no established words for them. And if there are, their values are disputed. This was also a problem in English, but with much smaller numbers: https://en.wiktionary.org/wiki/trillion (short scale versus long scale).
An American Trillion is an English Billion https://www.theguardian.com/notesandqueries/query/0,5753,-61424,00.html