Math puzzle a friend gave me

A = 10^3, B = 10^9, C=10^27, D=10^2, E=3, F=4, G=8, H=3, I=5, J=???, K=???, L=11, M=106, N=1, O=1, P=10^18, Q=10^15, R=3, S=6, T=2, U=4, V=5, W=2, X=6, Y=20, Z=???

What is the rule?

What are the missing values?

This was no friend.

the rule is....

Ok I won't give away the rule,

but K = 10^10^10^34

and Z = 0

I was going to ask if a bajillion was a number, but ah well..

I will note, however, that M = 1,000,000 (10^6) and not 106. A fairly obvious typo to me, but perhaps that helps.

Be it noted that you, sir, have one sadistic friend..

(Just looking over the numbers again, but wouldn't E=1?)

I also make one other note with regards to this problem.

If Z = 0, then I submit that that might change 3 of the other values as well, in order to be consistent.

Ah, I got it now.

Yes, looking back, E = 0 or at least 1, but not 3

A = 101

HELP
B=Billion
M=Million
T=Two
???

K = 100,000 for a lakh.

J is.... still not sure....

does it exist?