LOW TIME PVT PLT GOT RWYS MIXED UP AND LANDED ON RECIPROCAL OF ACTIVE RWY -- LANDED RWY 02 VERSUS RWY IN USE; RWY 20.

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I WAS APCHING THE CONCORD; NC; ARPT. CALLED UNICOM FOR TA; AND WAS TOLD RWY 20 WAS LAST USED. I THEN PROCEEDED TO MAKE A 45 DEG ENTRY TO DOWNWIND RWY 20. I HAVE NEVER BEEN TO CONCORD; SO I WAS RATHER BUSY AT THIS POINT TRYING TO GET SET UP FOR THE LNDG WHEN I HEARD ANOTHER ACFT CALL IN AN ILS APCH ON RWY 20. I THEN LOOKED DOWN AT THE RWY AND SAW THE #2 ON THE RWY ON THE DIRECTION I WAS FLYING. FOR SOME REASON I HAVE YET TO UNDERSTAND; WHEN I SAW THAT #2 ON THE RWY; I THOUGHT I'D MADE A MISTAKE AND THIS (RWY 2) IS THE ACTIVE RWY. I THINK THIS IS BECAUSE IN MOST CASES THE RWY HDGS ARE NOT OF VERY SIMILAR NUMBERS; IE; RWY 9/27; RWY 5/23 ETC. I RADIOED TO CONCORD TFC THAT I WAS XING MIDFIELD TO ENTER DOWNWIND FOR RWY 20 AND PROCEEDED TO DO SO. ONLY OF COURSE; I WAS REALLY ENTERING DOWNWIND FOR RWY 2. NEXT I TURNED BASE AND RPTED SO OVER THE UNICOM FREQ. THE KING AIR THAT PREVIOUSLY HAD CALLED IN NOW CALLED IN A 6 MI FINAL FOR RWY 20. ALL OF MY ATTN WAS AT ITS TIME BEING DEVOTED TO VISUALLY FINDING THIS ACFT. I HAD A PRETTY GOOD FIELD OF VIEW; AND SINCE THERE WAS NO SIGN OF HIM; I THOUGHT HE MUST BE TOO FAR OUT FOR ME TO SEE SO I TURNED FINAL; RPTED SO OVER UNICOM AND PROCEEDED TO LAND. JUST BEFORE FLARING I SAW THE KING AIR; HEADED TOWARDS ME; LNDG ON THE OTHER END OF THE RWY. HE OBVIOUSLY SAW ME ALSO (I HAD LNDG LIGHTS ON AS DID HE); SINCE HE MADE A R TURN MISSED APCH. SINCE HE HAD ALREADY STARTED A GAR I WENT AHEAD AND LANDED; TURNING OFF AT THE FIRST INTXN. HE THEN LET ME KNOW OVER THE RADIO THAT I HAD MADE A MISTAKE AND I ACKNOWLEDGED THAT. I DID MAKE A MISTAKE. ALSO; DO NOT MISUNDERSTAND; I'M NOT TRYING TO 'BLAME' MY MISTAKE ON THE RWY NUMBERS. HOWEVER; I DO THINK THAT THE COMBINATION OF MY UNFAMILIARITY WITH THIS ARPT AND THE SIMILARITY OF THE RWY NUMBERS WERE CONTRIBUTING FACTORS. I UNDERSTAND THAT RWY NUMBERING IS SOMETIMES AN INEXACT SCIENCE; OR THAT THERE ARE CASES WHERE THE ACTUAL RWY HDG CAN BE SO CLOSE TO HALFWAY BTWN 2 HDGS THAT SOMETIMES IT IS ALMOST A FLIP OF A COIN WHICH HDG A RWY WILL BE ASSIGNED. I ALSO UNDERSTAND THAT OVER TIME THE EARTH'S MAGNETIC FIELD CHANGES; AND SOMETIMES THEREFORE RWY HDGS HAVE TO BE 'RENAMED.' I WOULD SAY THAT IF ANY OF THESE INSTANCES WERE THE CASE AT CONCORD ARPT; THAT SOMEONE LOOK FAIRLY SERIOUSLY AT USING ANY OPPORTUNITY TO CHANGE THE RWY HDGS TO ONE THAT DOES NOT LEND ITSELF TO CONFUSION AS THE EXISTING 2-20 HEADING. EITHER 1-19 OR 3-21 WOULD PRESENT LESS OF AN OPPORTUNITY FOR THIS SIT TO HAPPEN AGAIN IN THE FUTURE. HOWEVER; I CAN ASSURE YOU THAT THIS IS ONE PLT THAT WILL NEVER MISTAKE 2 FOR 20 AGAIN.