I'm not sure exaclty what you're asking but the first micro processor was made by Intel and was called the 4004. It wasnt very powerful and all it could do was add and subtract.
That depends on what you consider to be the world's first computer. If the concept of a digital device executing a "stored program" is what you are referring to, then the "Univac" manufactured by Eckert-Mauchly/Sperry-Rand in the US is probably it. The base components were thermionic valves, replaced by discrete transistors in later devices and ICs in much later generations.
Of course ENIAC was also a digital computing device manufactured during the second world war (before the Univac), that was also valve-based. Integrated circuits such as the 4004 mentioned in the other answer came much later (and tended to be used for device control applications. Rather than in mainstream computing). The 4004 had quite a large instruction set (46 documented machine codes) with add/subtract/rotate/jump/modified jump/compare instructions. The majority of its instructions were concerned with I/O, which led it to be used as input/output controllers for larger machines.