I would say she is
all types of immortality. I have read her full list of abilities (only around 800 have been revealed out of 12 quadrillion; 12,000,000,000,000) and she has more than one ability that allows her to be "immortal". As someone before me has stated before, she has been defeated over 100 million times and

Ajimu and her seemingly infinite number of skills.

Ajimu defeats Medaka's clone with her skills ignoring contradiction ("we've all won and lost")

Ajimu being "defeated" by Iihiko
still lived every time. After reading her full list of skills, that have been revealed, I realised just how OP she was.
"Undead Genius; Immortality skill."
What 'immortality" means is arguable, but more than likely from what weve seen is
Type
1, if taken literally then could be
Type 5 Immortality.
"Near Redeath; No matter how many times cut, one does not die skill."
This proves that she also has
type 2 immortality. There are more skills
like this one.
"
I Banish; Annihilation skill."
Annihilation in this context is the equivelant to "non-existence" (power to erase anyt
hing from existence). This skill is similar, if not the same as Kumagawa's
All Fiction ("a skill that defies reality; make anything become nothing"). She could easily use this to negate any and all damage or death, this confirms her having
type 3 immortality. She has many other skills similar to this.
"
Reverse Cover; Damage cancelling skill."
She can "negate" or "cancel" any damage out. This can be
type 2 as well, b
ut im not sure.
"
Zero Sum Real; Power over life and death skill."
She has power over life and death... I dont think i need to say anything more.
"
Hundred Gauntlets; Causality reversal skill."
She can reverse causality. That's a pretty OP skill in itself and can be used to again negate any damage, and make them as if they never happened.
Now, there are many other skills that are similar to the ones above and be used to grant her eternal life, but there are even more skills that can be used to grant her immortality indirectly or directly, like....
"
Condition Bon Bo; Set rules for the fight skill."
If she wanted to she could make the rule that, "I can not die under any circumstances." granting her
Type 5 immortality.
Now she again, has over 12 QUADRILLION DIFFERENT SKILLS!!
12,858,051,967,633,865 to be exact. That's a shit ton.
I honestly wouldnt be surprised if she had another 50 million skills just based on immortality and eternal life alone. 50 million is nothing compared to 12 quadrillion. If you still dont agree then how about this,
"Spec Over; Become God skill."
SHE CAN LITERALLY BECOME GOD. This confirms Type 5 immortality and if not then at the very least Type 4.
Keep in mind that there are plenty more abilities that relate to her having immortality that have been revealed that i chose not to mention simply due to repetition and, again, theres more than 12 quadrillion more skills that havent even been revealed yet. If you read up to here then congrats youve made it to "The End". Oh yeah and I forgot to mention her skill thats even more OP than BECOMING GOD.
"
God Eye; Interfere with the plot skill."
In other words, she possesses "Plot Manipulation", she can control the story as she wants and in a way she actually does do this in the manga. She even breaks the fourth wall several times in the manga and anime series so no surprises there.
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NoData