101331001220209 has 2 divisors, whose sum is σ = 101331001220210. Its totient is φ = 101331001220208.

The previous prime is 101331001220191. The next prime is 101331001220213. The reversal of 101331001220209 is 902022100133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73703993520609 + 27627007699600 = 8585103^2 + 5256140^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331001220209 - 2²⁹ = 101330464349297 is a prime.

It is not a weakly prime, because it can be changed into another prime (101331001220509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665500610104 + 50665500610105.

It is an arithmetic number, because the mean of its divisors is an integer number (50665500610105).

Almost surely, 2^{101331001220209} is an apocalyptic number.

It is an amenable number.

101331001220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331001220209 is an equidigital number, since it uses as much as digits as its factorization.

101331001220209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 101331001220209 in words is "one hundred one trillion, three hundred thirty-one billion, one million, two hundred twenty thousand, two hundred nine".