211210221001009 has 8 divisors (see below), whose sum is σ = 215196052988520. Its totient is φ = 207224416179456.

The previous prime is 211210221000983. The next prime is 211210221001049. The reversal of 211210221001009 is 900100122012112.

It can be written as a sum of positive squares in 4 ways, for example, as 80129978856225 + 131080242144784 = 8951535^2 + 11449028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211210221001009 - 2⁹ = 211210221000497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211210221001049) 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 7 ways as a sum of consecutive naturals, for example, 9259447 + ... + 22542355.

It is an arithmetic number, because the mean of its divisors is an integer number (26899506623565).

Almost surely, 2^{211210221001009} is an apocalyptic number.

It is an amenable number.

211210221001009 is a deficient number, since it is larger than the sum of its proper divisors (3985831987511).

211210221001009 is a wasteful number, since it uses less digits than its factorization.

211210221001009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582979.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 211210221001009 in words is "two hundred eleven trillion, two hundred ten billion, two hundred twenty-one million, one thousand, nine".