111001222111121 has 2 divisors, whose sum is σ = 111001222111122. Its totient is φ = 111001222111120.

The previous prime is 111001222111103. The next prime is 111001222111207. The reversal of 111001222111121 is 121111222100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56494600331521 + 54506621779600 = 7516289^2 + 7382860^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001222111121 - 2³⁴ = 110984042241937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111001222111121.

It is not a weakly prime, because it can be changed into another prime (111001222111721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500611055560 + 55500611055561.

It is an arithmetic number, because the mean of its divisors is an integer number (55500611055561).

Almost surely, 2^{111001222111121} is an apocalyptic number.

It is an amenable number.

111001222111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001222111121 is an equidigital number, since it uses as much as digits as its factorization.

111001222111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 111001222111121 its reverse (121111222100111), we get a palindrome (232112444211232).

The spelling of 111001222111121 in words is "one hundred eleven trillion, one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".