not only; not just
Particle used to add an additional, often surprising or emphatic, element. Similar to だけでなく but often carries a stronger sense of 'not only that, but even...'. Followed by も, まで, or さえ.
See also: ばかりでなく
彼は英語ばかりか中国語も話せる。
He can speak not only English but also Chinese.
その店は値段が高いばかりか、サービスも悪い。
Not only is that store expensive, but the service is also bad.
He can speak not only English but also Chinese.
Not only was he late, he even came to deliver something he'd forgotten.
She can't even do cleaning, let alone cooking.
許りでなく is essentially a more formal or written variant of ばかりか with the same 'not only' meaning.
のみならず is a stiffer, more literary way to express 'not only' than ばかりか, often found in formal writing or speeches.
ばかりか is a more formal, literary way to say 'not only ... but also', while どころか carries a stronger, more colloquial contrastive or corrective nuance.
許り alone means 'only/just' (量ばかり食べる), whereas 許りか is a compound particle meaning 'not only' and requires a following も/まで/さえ clause.
Derived from the particle ばかり (only, just) combined with the interrogative particle か, creating a rhetorical question-like structure that evolved into 'not only'.