100100222121209 has 2 divisors, whose sum is σ = 100100222121210. Its totient is φ = 100100222121208.

The previous prime is 100100222121203. The next prime is 100100222121259. The reversal of 100100222121209 is 902121222001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74273853859984 + 25826368261225 = 8618228^2 + 5081965^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100222121209 - 2²⁰ = 100100221072633 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100100222121203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050111060604 + 50050111060605.

It is an arithmetic number, because the mean of its divisors is an integer number (50050111060605).

Almost surely, 2^{100100222121209} is an apocalyptic number.

It is an amenable number.

100100222121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100222121209 is an equidigital number, since it uses as much as digits as its factorization.

100100222121209 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 100100222121209 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred nine".