But Clinton said her fondest trip was one she took as first lady, taking her daughter Chelsea to the Taj Mahal.
"That was a wonderful trip, not only for us personally but for our country," she said. "Because it really started the ongoing efforts that the Bush administration and now President Obama have undertaken to strengthen and deepen our relationship with India, a great partner."
Clinton said that when she was her daughter's age and living in Park Ridge, Ill., she could never have imagined that she'd be married to a president and then serving her country as secretary of state.
"And here we are, sitting, talking about these important issues in the world. That's why I love every minute that I get to represent the United States," she said. " Because I'm a product of how great our country is."
And although Clinton dropped a quick hint that she wants to make a better future for, "some day, grandchildren," she promised she wasn't hinting about her daughter.
She also joked about her must-haves when traveling.
"It includes, obviously my makeup," she said, laughing. Because, you know, when you get as little sleep, and you're as jetlagged as I am, it's very hard not to, you know, scare the children in the morning."
The Associated Press contributed to this story.