2000012100 has 144 divisors (see below), whose sum is σ = 5896497600. Its totient is φ = 523328000.

The previous prime is 2000012099. The next prime is 2000012123. The reversal of 2000012100 is 12100002.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4514479 + ... + 4514921.

It is an arithmetic number, because the mean of its divisors is an integer number (40947900).

Almost surely, 2^2000012100 is an apocalyptic number.

2000012100 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 2000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948248800).

2000012100 is an abundant number, since it is smaller than the sum of its proper divisors (3896485500).

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

2000012100 is a wasteful number, since it uses less digits than its factorization.

2000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

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

The square root of 2000012100 is about 44721.4948319038. The cubic root of 2000012100 is about 1259.9235907305.

Adding to 2000012100 its reverse (12100002), we get a palindrome (2012112102).

The spelling of 2000012100 in words is "two billion, twelve thousand, one hundred".