211121201009 has 12 divisors (see below), whose sum is σ = 228397503204. Its totient is φ = 194474563584.

The previous prime is 211121200993. The next prime is 211121201017. The reversal of 211121201009 is 900102121112.

It can be written as a sum of positive squares in 2 ways, for example, as 163377640000 + 47743561009 = 404200^2 + 218503^2 .

It is not a de Polignac number, because 211121201009 - 2⁴ = 211121200993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211121201309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2773424 + ... + 2848529.

It is an arithmetic number, because the mean of its divisors is an integer number (19033125267).

Almost surely, 2^211121201009 is an apocalyptic number.

It is an amenable number.

211121201009 is a deficient number, since it is larger than the sum of its proper divisors (17276302195).

211121201009 is an equidigital number, since it uses as much as digits as its factorization.

211121201009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622064 (or 5622017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 211121201009 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred one thousand, nine".