10002001 has 12 divisors (see below), whose sum is σ = 10842012. Its totient is φ = 9221888.

The previous prime is 10001963. The next prime is 10002007. The reversal of 10002001 is 10020001.

It can be written as a sum of positive squares in 6 ways, for example, as 705600 + 9296401 = 840^2 + 3049^2 .

It is not a de Polignac number, because 10002001 - 2¹⁵ = 9969233 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14991 + ... + 15643.

It is an arithmetic number, because the mean of its divisors is an integer number (903501).

Almost surely, 2^10002001 is an apocalyptic number.

It is an amenable number.

10002001 is a deficient number, since it is larger than the sum of its proper divisors (840011).

10002001 is an equidigital number, since it uses as much as digits as its factorization.

10002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10002001 is about 3162.5940302227. The cubic root of 10002001 is about 215.4578381242.

Adding to 10002001 its reverse (10020001), we get a palindrome (20022002).

Multiplying 10002001 by its reverse (10020001), we get a palindrome (100220060022001).

It can be divided in two parts, 1000 and 2001, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 10002001 in words is "ten million, two thousand, one".