How to calculate collector current in in a CC amplifier when given current source?
You can calculate back to the base current.

\$I_e = \beta * I_b +I_b\$

-> \$I_e = I_b * (\beta + 1)\$

-> \$I_b =I_e/(\beta +1) = 2/101 = .0198mA\$  (Formula 1)

\$I_c = I_e - I_b = 2 -.0198 = 1.98mA\$

You can also do it this way

\$I_c = \beta * I_b\$

Substituting (Formula 1) from above

\$I_c = I_e * \beta/(\beta + 1)\ = 2 * 100 /101 = 1.98mA\$