111002221002121 has 2 divisors, whose sum is σ = 111002221002122. Its totient is φ = 111002221002120.

The previous prime is 111002221002119. The next prime is 111002221002131. The reversal of 111002221002121 is 121200122200111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100096243145721 + 10905977856400 = 10004811^2 + 3302420^2 .

It is a cyclic number.

It is not a de Polignac number, because 111002221002121 - 2¹ = 111002221002119 is a prime.

Together with 111002221002119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 111002221002095 and 111002221002104.

It is not a weakly prime, because it can be changed into another prime (111002221002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501110501060 + 55501110501061.

It is an arithmetic number, because the mean of its divisors is an integer number (55501110501061).

Almost surely, 2^{111002221002121} is an apocalyptic number.

It is an amenable number.

111002221002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002221002121 is an equidigital number, since it uses as much as digits as its factorization.

111002221002121 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 16.

Adding to 111002221002121 its reverse (121200122200111), we get a palindrome (232202343202232).

The spelling of 111002221002121 in words is "one hundred eleven trillion, two billion, two hundred twenty-one million, two thousand, one hundred twenty-one".