1004201021 has 2 divisors, whose sum is σ = 1004201022. Its totient is φ = 1004201020.

The previous prime is 1004200963. The next prime is 1004201039. The reversal of 1004201021 is 1201024001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761152921 + 243048100 = 27589^2 + 15590^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004201021 - 2²² = 1000006717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004200993 and 1004201011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004201041) 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, 502100510 + 502100511.

It is an arithmetic number, because the mean of its divisors is an integer number (502100511).

Almost surely, 2^1004201021 is an apocalyptic number.

It is an amenable number.

1004201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004201021 is an equidigital number, since it uses as much as digits as its factorization.

1004201021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1004201021 is about 31689.1309599995. The cubic root of 1004201021 is about 1001.3983839442.

Adding to 1004201021 its reverse (1201024001), we get a palindrome (2205225022).

The spelling of 1004201021 in words is "one billion, four million, two hundred one thousand, twenty-one".