1001000010201 has 16 divisors (see below), whose sum is σ = 1340643795840. Its totient is φ = 664348544640.

The previous prime is 1001000010193. The next prime is 1001000010209. The reversal of 1001000010201 is 1020100001001.

It is an interprime number because it is at equal distance from previous prime (1001000010193) and next prime (1001000010209).

It is not a de Polignac number, because 1001000010201 - 2³ = 1001000010193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000010201.

It is not an unprimeable number, because it can be changed into a prime (1001000010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596556 + ... + 1535538.

It is an arithmetic number, because the mean of its divisors is an integer number (83790237240).

Almost surely, 2^{1001000010201} is an apocalyptic number.

It is an amenable number.

1001000010201 is a deficient number, since it is larger than the sum of its proper divisors (339643785639).

1001000010201 is a wasteful number, since it uses less digits than its factorization.

1001000010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940576.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001000010201 its reverse (1020100001001), we get a palindrome (2021100011202).

The spelling of 1001000010201 in words is "one trillion, one billion, ten thousand, two hundred one".