The Sim-Pal slogan is "A Sim-Pal that's fun to be with!", a derivation from "The Hitch-Hiker's Guide to the Galaxy" series by Douglas Adams. There, the corporation that created robots with "Genuine People Personalities" had the slogan "Your plastic pal that's fun to be with!".
When Adam Gibson (Schwarzenegger) is spotted by his daughter outside, he offers to take her back to bed. She asks to be carried 'Fireman'. Schwarzenegger would play firefighter Gordon Brewster in his next film, 'Collateral Damage' (2002).
The trivia items below may give away important plot points.
As a joke and due to the fact that he plays two versions of the same character in the film, Arnold Schwarzenegger received nominations at the 21st Annual Razzie Awards in both the leading and supporting categories, but the nominations are technically incorrect. He was nominated for Worst Actor as the REAL Adam Gibson and Worst Supporting Actor as the CLONE of Adam Gibson. In fact, the clone is whom most of the movie follows and the real Adam Gibson is the supporting character.
Although Tripp, (the assassin that killed Drucker, et al), claims to have "people on the inside", and states this as the reason Adam must shoot him in the head, (to protect their identities), no "inside people" are ever revealed.