2000101001 has 8 divisors (see below), whose sum is σ = 2034510408. Its totient is φ = 1965744000.

The previous prime is 2000100979. The next prime is 2000101021. The reversal of 2000101001 is 1001010002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37699600 + 1962401401 = 6140^2 + 44299^2 .

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 2000101001 - 2²⁶ = 1932992137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000101021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68171 + ... + 92991.

It is an arithmetic number, because the mean of its divisors is an integer number (254313801).

Almost surely, 2^2000101001 is an apocalyptic number.

It is an amenable number.

2000101001 is a deficient number, since it is larger than the sum of its proper divisors (34409407).

2000101001 is a wasteful number, since it uses less digits than its factorization.

2000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26203.

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

The square root of 2000101001 is about 44722.4887612485. The cubic root of 2000101001 is about 1259.9422584189.

Adding to 2000101001 its reverse (1001010002), we get a palindrome (3001111003).

Subtracting from 2000101001 its reverse (1001010002), we obtain a palindrome (999090999).

The spelling of 2000101001 in words is "two billion, one hundred one thousand, one".