2000001010001 has 8 divisors (see below), whose sum is σ = 2069092593000. Its totient is φ = 1930917829120.

The previous prime is 2000001009991. The next prime is 2000001010009. The reversal of 2000001010001 is 1000101000002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 606241318225 + 1393759691776 = 778615^2 + 1180576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2000001010001 - 2¹⁰ = 2000001008977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000001010009) 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 7 ways as a sum of consecutive naturals, for example, 1614326 + ... + 2570223.

It is an arithmetic number, because the mean of its divisors is an integer number (258636574125).

Almost surely, 2^{2000001010001} is an apocalyptic number.

It is an amenable number.

2000001010001 is a deficient number, since it is larger than the sum of its proper divisors (69091582999).

2000001010001 is a wasteful number, since it uses less digits than its factorization.

2000001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201059.

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

Adding to 2000001010001 its reverse (1000101000002), we get a palindrome (3000102010003).

Subtracting from 2000001010001 its reverse (1000101000002), we obtain a palindrome (999900009999).

The spelling of 2000001010001 in words is "two trillion, one million, ten thousand, one".