211121022109 has 2 divisors, whose sum is σ = 211121022110. Its totient is φ = 211121022108.

The previous prime is 211121022107. The next prime is 211121022149. The reversal of 211121022109 is 901220121112.

211121022109 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., 124418452900 + 86702569209 = 352730^2 + 294453^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121022109 - 2¹ = 211121022107 is a prime.

Together with 211121022107, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 211121022109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211121022107) 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, 105560511054 + 105560511055.

It is an arithmetic number, because the mean of its divisors is an integer number (105560511055).

Almost surely, 2^211121022109 is an apocalyptic number.

It is an amenable number.

211121022109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121022109 is an equidigital number, since it uses as much as digits as its factorization.

211121022109 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 211121022109 in words is "two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred nine".