211100211009 has 12 divisors (see below), whose sum is σ = 315437097300. Its totient is φ = 135880595424.

The previous prime is 211100210917. The next prime is 211100211011. The reversal of 211100211009 is 900112001112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80849235600 + 130250975409 = 284340^2 + 360903^2 .

It is not a de Polignac number, because 211100211009 - 2⁸ = 211100210753 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211100210982 and 211100211000.

It is not an unprimeable number, because it can be changed into a prime (211100211029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404406274 + ... + 404406795.

It is an arithmetic number, because the mean of its divisors is an integer number (26286424775).

Almost surely, 2^211100211009 is an apocalyptic number.

211100211009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

211100211009 is a deficient number, since it is larger than the sum of its proper divisors (104336886291).

211100211009 is a wasteful number, since it uses less digits than its factorization.

211100211009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808813104 (or 808813101 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 211100211009 in words is "two hundred eleven billion, one hundred million, two hundred eleven thousand, nine".