2000021100 has 432 divisors, whose sum is σ = 7713506304. Its totient is φ = 390297600.

The previous prime is 2000021063. The next prime is 2000021113. The reversal of 2000021100 is 11200002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4319469 + ... + 4319931.

Almost surely, 2^2000021100 is an apocalyptic number.

2000021100 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 2000021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856753152).

2000021100 is an abundant number, since it is smaller than the sum of its proper divisors (5713485204).

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

2000021100 is a wasteful number, since it uses less digits than its factorization.

2000021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000021100 is about 44721.5954545452. The cubic root of 2000021100 is about 1259.9254806017.

Adding to 2000021100 its reverse (11200002), we get a palindrome (2011221102).

It can be divided in two parts, 200002 and 1100, that added together give a palindrome (201102).

The spelling of 2000021100 in words is "two billion, twenty-one thousand, one hundred".