1001041003021 has 2 divisors, whose sum is σ = 1001041003022. Its totient is φ = 1001041003020.

The previous prime is 1001041003009. The next prime is 1001041003093. The reversal of 1001041003021 is 1203001401001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 858191020996 + 142849982025 = 926386^2 + 377955^2 .

It is an emirp because it is prime and its reverse (1203001401001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001041003021 - 2¹⁹ = 1001040478733 is a prime.

It is a super-2 number, since 2×1001041003021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001041002992 and 1001041003010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001041003321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500520501510 + 500520501511.

It is an arithmetic number, because the mean of its divisors is an integer number (500520501511).

Almost surely, 2^{1001041003021} is an apocalyptic number.

It is an amenable number.

1001041003021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001041003021 is an equidigital number, since it uses as much as digits as its factorization.

1001041003021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001041003021 its reverse (1203001401001), we get a palindrome (2204042404022).

The spelling of 1001041003021 in words is "one trillion, one billion, forty-one million, three thousand, twenty-one".