100201111122209 has 2 divisors, whose sum is σ = 100201111122210. Its totient is φ = 100201111122208.

The previous prime is 100201111122139. The next prime is 100201111122221. The reversal of 100201111122209 is 902221111102001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100037943598609 + 163167523600 = 10001897^2 + 403940^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201111122209 - 2²⁴ = 100201094344993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201111122509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100555561104 + 50100555561105.

It is an arithmetic number, because the mean of its divisors is an integer number (50100555561105).

Almost surely, 2^{100201111122209} is an apocalyptic number.

It is an amenable number.

100201111122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201111122209 is an equidigital number, since it uses as much as digits as its factorization.

100201111122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 100201111122209 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, two hundred nine".