1003221112121 has 2 divisors, whose sum is σ = 1003221112122. Its totient is φ = 1003221112120.

The previous prime is 1003221112109. The next prime is 1003221112139. The reversal of 1003221112121 is 1212111223001.

It is a happy number.

1003221112121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 793515732025 + 209705380096 = 890795^2 + 457936^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003221112121 - 2⁶ = 1003221112057 is a prime.

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 1003221112121.

It is not a weakly prime, because it can be changed into another prime (1003221112171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501610556060 + 501610556061.

It is an arithmetic number, because the mean of its divisors is an integer number (501610556061).

Almost surely, 2^{1003221112121} is an apocalyptic number.

It is an amenable number.

1003221112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003221112121 is an equidigital number, since it uses as much as digits as its factorization.

1003221112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1003221112121 its reverse (1212111223001), we get a palindrome (2215332335122).

The spelling of 1003221112121 in words is "one trillion, three billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".