2000201021001 has 6 divisors (see below), whose sum is σ = 2889179252570. Its totient is φ = 1333467347328.

The previous prime is 2000201020999. The next prime is 2000201021023. The reversal of 2000201021001 is 1001201020002.

It can be written as a sum of positive squares in only one way, i.e., 1982224647225 + 17976373776 = 1407915^2 + 134076^2 .

It is not a de Polignac number, because 2000201021001 - 2¹ = 2000201020999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222244557889 = 2000201021001 / (2 + 0 + 0 + 0 + 2 + 0 + 1 + 0 + 2 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000201091001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111122278936 + ... + 111122278953.

Almost surely, 2^{2000201021001} is an apocalyptic number.

It is an amenable number.

2000201021001 is a deficient number, since it is larger than the sum of its proper divisors (888978231569).

2000201021001 is a wasteful number, since it uses less digits than its factorization.

2000201021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222244557895 (or 222244557892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000201021001 its reverse (1001201020002), we get a palindrome (3001402041003).

Subtracting from 2000201021001 its reverse (1001201020002), we obtain a palindrome (999000000999).

The spelling of 2000201021001 in words is "two trillion, two hundred one million, twenty-one thousand, one".