Is there some specific term for the supernatural things Satan does? I'd think it's not "satanic miracle".
No, there's no term exclusively denoting supernatural or extraordinary actions by Satan (as opposed to any other figure in the Abrahamic canons).
In the more modern Biblical translations Satan's extraordinary acts are most often distinguished not by different terminology but by negative characterizations of 'miracle' (or synonyms). For example, the enumeration of Satan's capabilities in 2 Thessalonians 2:9 includes such variant phrasings as:
- counterfeit power and signs and miracles
- false signs and wonders
- every kind of power, sign, and false wonder(s)
- every power, and in signs, and in wonders of falsehood
- all power and signs and lying wonders ('lying wonders' seems quite popular nowadays ... )
- every kind of power, including miraculous signs, lying wonders
- all kinds of miracles and signs and false wonders
- great power and signs and lying miracles
(SOURCE:
http://biblehub.com/2_thessalonians/2-9.htm)
In other words, miraculous acts are ascribed to Satan, but qualified as being somehow false or illegitimate (by comparison with God's / Jesus' miraculous acts).
It's all very murky - mainly because the concept of Satan isn't clearly defined in the biblical texts, and there's good reason to question whether the Devil we know(?) today is the Satan they described back then.
The word apparently originated as a common noun ('satan'; not capitalized) to mean 'adversary', 'accuser', or 'one who resists', and referred to a role (as in a story) rather than a specific character or entity.
The older editions of the Old Testament texts contain multiple references to 'satan' (i.e., 'an accuser'; 'an adversary'), but provide little or no basis for equating these references to a single persistent malevolent entity.
For example, the 'satan' (not Satan) originally appearing in Job (the book) and bedeviling Job (the man) was pretty clearly described as an angel who challenged God as to whether Job's faith and allegiance would survive adversity. God gave the angel permission to test Job to the extreme, but there's no mention of God equipping (or needing to equip) the angel with any powers before he could carry out the task.
In other Old Testament appearances the satan isn't necessarily operating supernaturally, relying instead on (e.g.) deception, trickery, and / or verbal cunning.
The notion of Satan (proper name) as a specific longstanding evil entity is something that progressively coalesces as the Bible proceeds, reaching full fruition only in the New Testament. A shift toward this revisionist concept seems to correlate with the Second Temple Period (after the Israelites had returned from Babylon, where they were exposed to Zoroastrian dualism and its emphasis on a clear-cut and persistent evil force / influence / entity).
By the time you get to Revelations Satan is a supernatural super-villain and lord of all that is unholy. It is this later, culminating view of Satan as the ultimate Evil One which subsequent Christian translations / editions retro-projected onto the earlier Old Testament appearances.
The related notion of this culminating Satan character originating as an angel cast out of heaven is a back-story that arose and proliferated even later.