101331122102209 has 2 divisors, whose sum is σ = 101331122102210. Its totient is φ = 101331122102208.

The previous prime is 101331122102129. The next prime is 101331122102263. The reversal of 101331122102209 is 902201221133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78328518115600 + 23002603986609 = 8850340^2 + 4796103^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331122102209 - 2⁷ = 101331122102081 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331122102809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665561051104 + 50665561051105.

It is an arithmetic number, because the mean of its divisors is an integer number (50665561051105).

Almost surely, 2^{101331122102209} is an apocalyptic number.

It is an amenable number.

101331122102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331122102209 is an equidigital number, since it uses as much as digits as its factorization.

101331122102209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 101331122102209 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred nine".