111000211121 has 2 divisors, whose sum is σ = 111000211122. Its totient is φ = 111000211120.

The previous prime is 111000211079. The next prime is 111000211129. The reversal of 111000211121 is 121112000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75603551521 + 35396659600 = 274961^2 + 188140^2 .

It is an emirp because it is prime and its reverse (121112000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111000211121 - 2³⁰ = 109926469297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111000211129) 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 as a sum of consecutive naturals, namely, 55500105560 + 55500105561.

It is an arithmetic number, because the mean of its divisors is an integer number (55500105561).

Almost surely, 2^111000211121 is an apocalyptic number.

It is an amenable number.

111000211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000211121 is an equidigital number, since it uses as much as digits as its factorization.

111000211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111000211121 its reverse (121112000111), we get a palindrome (232112211232).

The spelling of 111000211121 in words is "one hundred eleven billion, two hundred eleven thousand, one hundred twenty-one".