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There are nearly 400 Messianic prophecies in the Old Testament. This link identifies 48 of them with the Scripture reference of its first being prophesied and its fulfillment: 48 "Dead-On" Prophesies About Messiah Yeshua. This link shows 365 prophecies: Y'shua fulfilled more than 300 prophecies.

Some of the most noteworthy of them, and which explains this "national" rejection is that the TRUE Messiah would be rejected of his own people:

Psalm 69:8 I am become a stranger unto my brethren, and an alien unto my mother's children.

Isaiah 6:9-12 And he said, Go, and tell this people, Hear ye indeed, but understand not; and see ye indeed, but perceive not.

Make the heart of this people fat, and make their ears heavy, and shut their eyes; lest they see with their eyes, and hear with their ears, and understand with their heart, and convert, and be healed.

Then said I, Lord, how long? And he answered, Until the cities be wasted without inhabitant, and the houses without man, and the land be utterly desolate,

And the Lord have removed men far away, and there be a great forsaking in the midst of the land.

Isaiah 49:7 Thus saith the Lord, the Redeemer of Israel, and his Holy One, to him whom man despiseth, to him whom the nation abhorreth, to a servant of rulers, Kings shall see and arise, princes also shall worship, because of the Lord that is faithful, and the Holy One of Israel, and he shall choose thee.

Isaiah 53:3 He is despised and rejected of men; a man of sorrows, and acquainted with grief: and we hid as it were our faces from him; he was despised, and we esteemed him not.

Daniel 9:24-26 Seventy weeks are determined upon thy people and upon thy holy city, to finish the transgression, and to make an end of sins, and to make reconciliation for iniquity, and to bring in everlasting righteousness, and to seal up the vision and prophecy, and to anoint the most Holy.

Know therefore and understand, that from the going forth of the commandment to restore and to build Jerusalem unto the Messiah the Prince shall be seven weeks, and threescore and two weeks: the street shall be built again, and the wall, even in troublous times.

And after threescore and two weeks shall Messiah be cut off, but not for himself: and the people of the prince that shall come shall destroy the city and the sanctuary; and the end thereof shall be with a flood, and unto the end of the war desolations are determined.