Is it safe to use RSA multiple times Assuming I have multiple symmetric keys on specific machine(more than 10000 probably),
can I use the same rsa key to encrypt all of those keys?
I'm a bit concerned from a situation where multiple encrypted keys will have similar pattern
and will leak data about the original ones
You shouldn't be concerned if you use PKCS#1 v2 encryption padding - the OAEP.
OAEP, the Optimal Asymmetric Encryption Padding guarantees that even the slightest difference in raw plaintext (in your case, your symmetric keys) will result in huge difference in padded plaintext.