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INTANGIBLE ASSETS AND GOODWILL (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Sep. 30, 2013
Jun. 30, 2013
Dec. 31, 2014
Acquired Finite-Lived Intangible Assets [Line Items]          
Minimum age of children for management of nephropathic cystinosis 6 years        
Intangible asset impairment recognized $ 0us-gaap_ImpairmentOfIntangibleAssetsExcludingGoodwill $ 0us-gaap_ImpairmentOfIntangibleAssetsExcludingGoodwill      
Amortization charged to research and development expense 60,000us-gaap_AmortizationOfIntangibleAssets 60,000us-gaap_AmortizationOfIntangibleAssets      
Summary of intangible assets [Abstract]          
Useful Life 20 years        
Actual and estimated amortization expense for intangible assets [Abstract]          
2015 (remaining 9 months) 178,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear        
2016 238,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo        
2017 238,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree        
2018 238,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour        
2019 238,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive        
Research and Development Expense [Member]          
Acquired Finite-Lived Intangible Assets [Line Items]          
Amortization charged to research and development expense 60,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
60,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
     
Encode Pharmaceuticals, Inc. [Member]          
Summary of intangible assets [Abstract]          
Total intangible assets 4,110,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
      4,110,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
Less accumulated amortization (1,196,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
      (1,136,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
Intangible assets, Net 2,914,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
      2,974,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
IP license for RP103 [Member] | Encode Pharmaceuticals, Inc. [Member]          
Summary of intangible assets [Abstract]          
Useful Life 20 years        
Total intangible assets 2,620,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_IpLicenseForProcysbiRp103Member
      2,620,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_IpLicenseForProcysbiRp103Member
UCSD license FDA and EC approval milestones [Member] | Encode Pharmaceuticals, Inc. [Member]          
Acquired Finite-Lived Intangible Assets [Line Items]          
Milestone payment based on drug approvals     500,000rptp_MilestonePaymentBasedOnDrugApprovals
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_UcsdLicenseFdaAndEcApprovalMilestonesMember
800,000rptp_MilestonePaymentBasedOnDrugApprovals
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_UcsdLicenseFdaAndEcApprovalMilestonesMember
 
Summary of intangible assets [Abstract]          
Useful Life 20 years        
Total intangible assets 1,250,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_UcsdLicenseFdaAndEcApprovalMilestonesMember
      1,250,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rptp_UcsdLicenseFdaAndEcApprovalMilestonesMember
Other Intangible Assets [Member] | Encode Pharmaceuticals, Inc. [Member]          
Summary of intangible assets [Abstract]          
Useful Life 16 years        
Total intangible assets $ 240,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
      $ 240,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_BusinessAcquisitionAxis
= rptp_EncodePharmaceuticalsIncMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember