2012000100 has 216 divisors, whose sum is σ = 6552601440. Its totient is φ = 476044800.

The previous prime is 2012000083. The next prime is 2012000113. The reversal of 2012000100 is 10002102.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1560256 + ... + 1561544.

Almost surely, 2^2012000100 is an apocalyptic number.

2012000100 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 2012000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276300720).

2012000100 is an abundant number, since it is smaller than the sum of its proper divisors (4540601340).

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

2012000100 is a wasteful number, since it uses less digits than its factorization.

2012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1353 counting only the distinct ones).

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

The square root of 2012000100 is about 44855.3240987065. The cubic root of 2012000100 is about 1262.4358899576.

Adding to 2012000100 its reverse (10002102), we get a palindrome (2022002202).

The spelling of 2012000100 in words is "two billion, twelve million, one hundred", and thus it is an aban number.