211111011121 has 4 divisors (see below), whose sum is σ = 211117810212. Its totient is φ = 211104212032.

The previous prime is 211111011119. The next prime is 211111011203. The reversal of 211111011121 is 121110111112.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56102659600 + 155008351521 = 236860^2 + 393711^2 .

It is a cyclic number.

It is not a de Polignac number, because 211111011121 - 2¹ = 211111011119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211111011521) 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 3 ways as a sum of consecutive naturals, for example, 3352756 + ... + 3415141.

It is an arithmetic number, because the mean of its divisors is an integer number (52779452553).

Almost surely, 2^211111011121 is an apocalyptic number.

It is an amenable number.

211111011121 is a deficient number, since it is larger than the sum of its proper divisors (6799091).

211111011121 is an equidigital number, since it uses as much as digits as its factorization.

211111011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799090.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 211111011121 its reverse (121110111112), we get a palindrome (332221122233).

Subtracting from 211111011121 its reverse (121110111112), we obtain a palindrome (90000900009).

The spelling of 211111011121 in words is "two hundred eleven billion, one hundred eleven million, eleven thousand, one hundred twenty-one".