Quarterly report pursuant to Section 13 or 15(d)

Document and Entity Information

Document and Entity Information - shares
9 Months Ended
Sep. 30, 2021
Nov. 18, 2021
Document Information [Line Items]    
Document Type 10-Q  
Document Quarterly Report true  
Document Transition Report false  
Document Period End Date Sep. 30, 2021  
Entity File Number 001-40147  
Entity Registrant Name ROTH CH ACQUISITION III CO  
Entity Incorporation, State or Country Code DE  
Entity Tax Identification Number 83-3584928  
Entity Address, Address Line One 888 San Clemente Drive, Suite 400  
Entity Address, City or Town Newport Beach  
Entity Address State Or Province CA  
Entity Address, Postal Zip Code 92660  
City Area Code 949  
Local Phone Number 720-5700  
Entity Current Reporting Status Yes  
Entity Interactive Data Current Yes  
Entity Filer Category Non-accelerated Filer  
Entity Small Business true  
Entity Emerging Growth Company true  
Entity Ex Transition Period false  
Entity Shell Company true  
Entity Common Stock, Shares Outstanding   14,783,000
Entity Central Index Key 0001839412  
Current Fiscal Year End Date --12-31  
Document Fiscal Year Focus 2021  
Document Fiscal Period Focus Q3  
Amendment Flag false  
Common Stock A    
Document Information [Line Items]    
Title of 12(b) Security Common Stock  
Trading Symbol ROCR  
Security Exchange Name NASDAQ  
Document Information [Line Items]    
Title of 12(b) Security Warrants  
Trading Symbol ROCRW  
Security Exchange Name NASDAQ  
Document Information [Line Items]    
Title of 12(b) Security Units  
Trading Symbol ROCRU  
Security Exchange Name NASDAQ