TBF the 100Mt variant probably wasn't a viable weapon.
As it is, Tsar Bomba was air-dropped from a specially modified Tu-95 Bear, the Tu-95V, which had its engines, bomb bay, suspension and release mechanisms redesigned and fuel tanks and bomb bay doors removed to lighten it:
https://en.wikipedia.org/wiki/Tsar_Bomba#Development_of_the_...
The bomb was dropped at 10,500 metres altitude and descended by parachute to 4000 metres before detonation, by which time the carrier aircraft had travelled 39 kilometres. Even so, when the shockwave from the bomb caught up with it the plane dropped a kilometre, although the pilots managed to recover. A US aircraft in the vicinity had its paint scorched.
And that was the ~50Mt version.
It's highly unlikely that a carrier aircraft could have survived a 100Mt bomb. Or that it could have reached targets in CONUS when flying from Warsaw Pact territory. Or that a parachute-retarded bomb gently descending towards a target in US airspace during a shooting war could have survived for several minutes without being blown apart by a surface to air missile (which would almost certainly have disrupted its ability to deliver a full, or even partial, explosion).
And as the weapon weighed 27,000kg the USSR would have had problems building an ICBM able to carry a re-entry shielded version (to avoid being shot down).
So: not a practical weapon, but it really gave Nikita Kruschev something to wave in JFK's face.