211122220112011 has 16 divisors (see below), whose sum is σ = 239336882542240. Its totient is φ = 184618889349120.

The previous prime is 211122220111939. The next prime is 211122220112051. The reversal of 211122220112011 is 110211022221112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211122220112011 - 2¹⁹ = 211122219587723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211122220112011.

It is not an unprimeable number, because it can be changed into a prime (211122220112051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7009200 + ... + 21711133.

It is an arithmetic number, because the mean of its divisors is an integer number (14958555158890).

Almost surely, 2^{211122220112011} is an apocalyptic number.

211122220112011 is a deficient number, since it is larger than the sum of its proper divisors (28214662430229).

211122220112011 is a wasteful number, since it uses less digits than its factorization.

211122220112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28750126.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211122220112011 its reverse (110211022221112), we get a palindrome (321333242333123).

The spelling of 211122220112011 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand, eleven".