Super Egg Eggman scales to Super Sonic, who scales to the Egg Blaster. In short, his AP is about 1.265e49 Tons of TNT Or 5.2923e58 Joules.
Supreme Robotnik scales to his own durability, which withstood a force of 1.688e63 joules.
Looks like Eggman has the AP advantage.
Edit: Closer inspection reveals an AP of 140.9373 PetaFoe for Robotnik. As 100 PetaFoe = 10^61 Joules.. Eggman still has an AP Advantage, but it’s a lot closer.
Robotnik, with his Chaos Emeralds (and assuming without his various gadgets), has Low-High Regen, Toon Force, Life and Death Manip, Invisibility, Ice Breath, Heat Manip, and can grow to giant sizes.
Eggman with the Egg Robot (and assuming without his various gadgets) has Resistance to Space, Flight, and Energy Projection.
Robotnik has the Hax advantage for certain.
Eggman is listed at Interstellar with Energy, extended melee with the Egg Robots melee Attacks.
Robotnik is listed as Extended Melee.
It looks like Eggman, assuming without the Inventions for both, has the Range Advantage.
Both are immature and self-centered, However, Eggman tends not to screw around with enemies that aren’t Sonic. Don’t know if that’s true for Robotnik too.
The Egg Robots weakness is that it is weaker on the Head than the rest of its body.
Robotnik has less substantial weaknesses, meaning he has the Weakness advantage.
Eggman’s labeled as Supergenius, for being able to make various machines that are far more complex than Robotniks and Modern Technology, as well as an IQ of 300.
Robotnik’s labeled as Genius on his profile, for being able to create various Reality-Warping weapons.
Eggman has the Intellect advantage, it seems.