1002091001 has 2 divisors, whose sum is σ = 1002091002. Its totient is φ = 1002091000.

The previous prime is 1002090977. The next prime is 1002091009. The reversal of 1002091001 is 1001902001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 874739776 + 127351225 = 29576^2 + 11285^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002091001 - 2⁶ = 1002090937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002091009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501045500 + 501045501.

It is an arithmetic number, because the mean of its divisors is an integer number (501045501).

Almost surely, 2^1002091001 is an apocalyptic number.

It is an amenable number.

1002091001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002091001 is an equidigital number, since it uses as much as digits as its factorization.

1002091001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1002091001 is about 31655.8209655033. The cubic root of 1002091001 is about 1000.6965150874.

Adding to 1002091001 its reverse (1001902001), we get a palindrome (2003993002).

The spelling of 1002091001 in words is "one billion, two million, ninety-one thousand, one".