1003123121201 has 2 divisors, whose sum is σ = 1003123121202. Its totient is φ = 1003123121200.

The previous prime is 1003123121173. The next prime is 1003123121213. The reversal of 1003123121201 is 1021213213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 567227391025 + 435895730176 = 753145^2 + 660224^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003123121201 - 2¹⁴ = 1003123104817 is a prime.

It is a super-2 number, since 2×1003123121201² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003123121201.

It is not a weakly prime, because it can be changed into another prime (1003123120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501561560600 + 501561560601.

It is an arithmetic number, because the mean of its divisors is an integer number (501561560601).

Almost surely, 2^{1003123121201} is an apocalyptic number.

It is an amenable number.

1003123121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003123121201 is an equidigital number, since it uses as much as digits as its factorization.

1003123121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1003123121201 its reverse (1021213213001), we get a palindrome (2024336334202).

The spelling of 1003123121201 in words is "one trillion, three billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred one".