100333122209 has 2 divisors, whose sum is σ = 100333122210. Its totient is φ = 100333122208.

The previous prime is 100333122173. The next prime is 100333122221. The reversal of 100333122209 is 902221333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95050739809 + 5282382400 = 308303^2 + 72680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100333122209 is a prime.

It is a super-2 number, since 2×100333122209² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100333122269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166561104 + 50166561105.

It is an arithmetic number, because the mean of its divisors is an integer number (50166561105).

Almost surely, 2^100333122209 is an apocalyptic number.

It is an amenable number.

100333122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333122209 is an equidigital number, since it uses as much as digits as its factorization.

100333122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 100333122209 in words is "one hundred billion, three hundred thirty-three million, one hundred twenty-two thousand, two hundred nine".