1006001021 has 2 divisors, whose sum is σ = 1006001022. Its totient is φ = 1006001020.

The previous prime is 1006000997. The next prime is 1006001023. The reversal of 1006001021 is 1201006001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987844900 + 18156121 = 31430^2 + 4261^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006001021 - 2¹⁰ = 1005999997 is a prime.

It is a super-3 number, since 3×1006001021³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 1006001023, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006000993 and 1006001011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006001023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503000510 + 503000511.

It is an arithmetic number, because the mean of its divisors is an integer number (503000511).

Almost surely, 2^1006001021 is an apocalyptic number.

It is an amenable number.

1006001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006001021 is an equidigital number, since it uses as much as digits as its factorization.

1006001021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1006001021 is about 31717.5191495174. The cubic root of 1006001021 is about 1001.9963522589.

Adding to 1006001021 its reverse (1201006001), we get a palindrome (2207007022).

The spelling of 1006001021 in words is "one billion, six million, one thousand, twenty-one".