111000122212121 has 2 divisors, whose sum is σ = 111000122212122. Its totient is φ = 111000122212120.

The previous prime is 111000122212079. The next prime is 111000122212159. The reversal of 111000122212121 is 121212221000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108146688409600 + 2853433802521 = 10399360^2 + 1689211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111000122212121 is a prime.

It is a super-2 number, since 2×111000122212121² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111000122212121.

It is not a weakly prime, because it can be changed into another prime (111000122212621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500061106060 + 55500061106061.

It is an arithmetic number, because the mean of its divisors is an integer number (55500061106061).

Almost surely, 2^{111000122212121} is an apocalyptic number.

It is an amenable number.

111000122212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000122212121 is an equidigital number, since it uses as much as digits as its factorization.

111000122212121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111000122212121 its reverse (121212221000111), we get a palindrome (232212343212232).

The spelling of 111000122212121 in words is "one hundred eleven trillion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".