1000201001 has 16 divisors (see below), whose sum is σ = 1081497744. Its totient is φ = 921483264.

The previous prime is 1000200997. The next prime is 1000201003. The reversal of 1000201001 is 1001020001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19571776 + 980629225 = 4424^2 + 31315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000201001 - 2² = 1000200997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000201003) 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 in 15 ways as a sum of consecutive naturals, for example, 500861 + ... + 502853.

It is an arithmetic number, because the mean of its divisors is an integer number (67593609).

Almost surely, 2^1000201001 is an apocalyptic number.

It is an amenable number.

1000201001 is a deficient number, since it is larger than the sum of its proper divisors (81296743).

1000201001 is a wasteful number, since it uses less digits than its factorization.

1000201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000201001 is about 31625.9545468591. The cubic root of 1000201001 is about 1000.0669958448.

Adding to 1000201001 its reverse (1001020001), we get a palindrome (2001221002).

The spelling of 1000201001 in words is "one billion, two hundred one thousand, one".