2000100011 has 8 divisors (see below), whose sum is σ = 2461661664. Its totient is φ = 1582496640.

The previous prime is 2000099957. The next prime is 2000100097. The reversal of 2000100011 is 1100010002.

It is a happy number.

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 2000100011 - 2⁶ = 2000099947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000099968 and 2000100004.

It is not an unprimeable number, because it can be changed into a prime (2000100511) 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, 10989470 + ... + 10989651.

It is an arithmetic number, because the mean of its divisors is an integer number (307707708).

Almost surely, 2^2000100011 is an apocalyptic number.

2000100011 is a deficient number, since it is larger than the sum of its proper divisors (461561653).

2000100011 is a wasteful number, since it uses less digits than its factorization.

2000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21979141.

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

The square root of 2000100011 is about 44722.4776929901. The cubic root of 2000100011 is about 1259.9420505388.

Adding to 2000100011 its reverse (1100010002), we get a palindrome (3100110013).

Subtracting from 2000100011 its reverse (1100010002), we obtain a palindrome (900090009).

It can be divided in two parts, 200010001 and 1, that added together give a palindrome (200010002).

The spelling of 2000100011 in words is "two billion, one hundred thousand, eleven".