You can also turn off the two-step requirement temporarily if you'll be traveling without cellular access, though I don't recommend it. The reason I turned it on last year was because I was leaving the country and wouldn't be able to deal with further mysterious reset attempts.
Occasionally, you'll run into an app that won't accept the text code. Apple's Mail app on iPhones, iPads and Mac computers is one. Microsoft's Outlook software is another. If that happens, you'll have to go to your service's settings to generate a temporary password for that particular app. It's a pain, but I've rarely needed to do this.
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