2000001100 has 72 divisors (see below), whose sum is σ = 4395031200. Its totient is φ = 789934080.

The previous prime is 2000001097. The next prime is 2000001103. The reversal of 2000001100 is 11000002.

It is an interprime number because it is at equal distance from previous prime (2000001097) and next prime (2000001103).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 2000001100.

It is not an unprimeable number, because it can be changed into a prime (2000001103) 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, 3338601 + ... + 3339199.

It is an arithmetic number, because the mean of its divisors is an integer number (61042100).

Almost surely, 2^2000001100 is an apocalyptic number.

2000001100 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 2000001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197515600).

2000001100 is an abundant number, since it is smaller than the sum of its proper divisors (2395030100).

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

2000001100 is a wasteful number, since it uses less digits than its factorization.

2000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2000001100 is about 44721.3718483680. The cubic root of 2000001100 is about 1259.9212808804.

Adding to 2000001100 its reverse (11000002), we get a palindrome (2011001102).

The spelling of 2000001100 in words is "two billion, one thousand, one hundred".