2000011100 has 72 divisors (see below), whose sum is σ = 4501118160. Its totient is φ = 770452480.

The previous prime is 2000011051. The next prime is 2000011109. The reversal of 2000011100 is 11100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

2000011100 is a modest number, since divided by 11100 gives 2000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000011109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719119 + ... + 1720281.

It is an arithmetic number, because the mean of its divisors is an integer number (62515530).

Almost surely, 2^2000011100 is an apocalyptic number.

2000011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250559080).

2000011100 is an abundant number, since it is smaller than the sum of its proper divisors (2501107060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000011100 is a wasteful number, since it uses less digits than its factorization.

2000011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1792 counting only the distinct ones).

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

The square root of 2000011100 is about 44721.4836515964. The cubic root of 2000011100 is about 1259.9233807445.

Adding to 2000011100 its reverse (11100002), we get a palindrome (2011111102).

The spelling of 2000011100 in words is "two billion, eleven thousand, one hundred".