200100001001 has 8 divisors (see below), whose sum is σ = 204571309320. Its totient is φ = 195654464512.

The previous prime is 200100000977. The next prime is 200100001009. The reversal of 200100001001 is 100100001002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 159261653776 + 40838347225 = 399076^2 + 202085^2 .

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 200100001001 - 2⁶ = 200100000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200100001009) 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, 6427256 + ... + 6458313.

It is an arithmetic number, because the mean of its divisors is an integer number (25571413665).

Almost surely, 2^200100001001 is an apocalyptic number.

It is an amenable number.

200100001001 is a deficient number, since it is larger than the sum of its proper divisors (4471308319).

200100001001 is a wasteful number, since it uses less digits than its factorization.

200100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12885915.

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

Adding to 200100001001 its reverse (100100001002), we get a palindrome (300200002003).

Subtracting from 200100001001 its reverse (100100001002), we obtain a palindrome (99999999999).

The spelling of 200100001001 in words is "two hundred billion, one hundred million, one thousand, one".