Tire sizing in the bicycle industry is sort of like shoe sizing in the clothing industry. One maker's idea of 26x 2.10 may be different from another's and you may see little difference. The only problem you could have would be frame clearance but you should be OK.

If you have a speedometer don't forget to recalibrate it for the larger tire size.
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If you only travel on sunny days you will never reach your destination.*

* May not apply at certain latitudes in Canada and elsewhere.