100211022020209 has 2 divisors, whose sum is σ = 100211022020210. Its totient is φ = 100211022020208.

The previous prime is 100211022020189. The next prime is 100211022020231. The reversal of 100211022020209 is 902020220112001.

It is an a-pointer prime, because the next prime (100211022020231) can be obtained adding 100211022020209 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65674572880225 + 34536449139984 = 8103985^2 + 5876772^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211022020209 - 2³⁵ = 100176662281841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100211022020209.

It is not a weakly prime, because it can be changed into another prime (100211022024209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105511010104 + 50105511010105.

It is an arithmetic number, because the mean of its divisors is an integer number (50105511010105).

Almost surely, 2^{100211022020209} is an apocalyptic number.

It is an amenable number.

100211022020209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211022020209 is an equidigital number, since it uses as much as digits as its factorization.

100211022020209 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 22.

The spelling of 100211022020209 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twenty thousand, two hundred nine".