200011332001 has 16 divisors (see below), whose sum is σ = 219515864400. Its totient is φ = 181096980480.

The previous prime is 200011331957. The next prime is 200011332019. The reversal of 200011332001 is 100233110002.

200011332001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44957025 + 199966374976 = 6705^2 + 447176^2 .

It is not a de Polignac number, because 200011332001 - 2¹¹ = 200011329953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200011332071) 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 15 ways as a sum of consecutive naturals, for example, 2887825 + ... + 2956273.

It is an arithmetic number, because the mean of its divisors is an integer number (13719741525).

Almost surely, 2^200011332001 is an apocalyptic number.

It is an amenable number.

200011332001 is a deficient number, since it is larger than the sum of its proper divisors (19504532399).

200011332001 is a wasteful number, since it uses less digits than its factorization.

200011332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72756.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 200011332001 its reverse (100233110002), we get a palindrome (300244442003).

The spelling of 200011332001 in words is "two hundred billion, eleven million, three hundred thirty-two thousand, one".