211112110009 has 2 divisors, whose sum is σ = 211112110010. Its totient is φ = 211112110008.

The previous prime is 211112110007. The next prime is 211112110067. The reversal of 211112110009 is 900011211112.

211112110009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205426497600 + 5685612409 = 453240^2 + 75403^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112110009 - 2¹ = 211112110007 is a prime.

It is a super-4 number, since 4×211112110009⁴ (a number of 46 digits) contains 4444 as substring.

Together with 211112110007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211112110007) 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, 105556055004 + 105556055005.

It is an arithmetic number, because the mean of its divisors is an integer number (105556055005).

Almost surely, 2^211112110009 is an apocalyptic number.

It is an amenable number.

211112110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112110009 is an equidigital number, since it uses as much as digits as its factorization.

211112110009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 211112110009 in words is "two hundred eleven billion, one hundred twelve million, one hundred ten thousand, nine".