101200102122209 has 2 divisors, whose sum is σ = 101200102122210. Its totient is φ = 101200102122208.

The previous prime is 101200102122199. The next prime is 101200102122239. The reversal of 101200102122209 is 902221201002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60069428699809 + 41130673422400 = 7750447^2 + 6413320^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200102122209 - 2⁴ = 101200102122193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101200102122239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600051061104 + 50600051061105.

It is an arithmetic number, because the mean of its divisors is an integer number (50600051061105).

Almost surely, 2^{101200102122209} is an apocalyptic number.

It is an amenable number.

101200102122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200102122209 is an equidigital number, since it uses as much as digits as its factorization.

101200102122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 101200102122209 in words is "one hundred one trillion, two hundred billion, one hundred two million, one hundred twenty-two thousand, two hundred nine".