1001003011201 has 2 divisors, whose sum is σ = 1001003011202. Its totient is φ = 1001003011200.

The previous prime is 1001003011199. The next prime is 1001003011249. The reversal of 1001003011201 is 1021103001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 590377089600 + 410625921601 = 768360^2 + 640801^2 .

It is an emirp because it is prime and its reverse (1021103001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001003011201 - 2¹ = 1001003011199 is a prime.

Together with 1001003011199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1001003012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501505600 + 500501505601.

It is an arithmetic number, because the mean of its divisors is an integer number (500501505601).

Almost surely, 2^{1001003011201} is an apocalyptic number.

It is an amenable number.

1001003011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001003011201 is an equidigital number, since it uses as much as digits as its factorization.

1001003011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1001003011201 its reverse (1021103001001), we get a palindrome (2022106012202).

The spelling of 1001003011201 in words is "one trillion, one billion, three million, eleven thousand, two hundred one".