2012100000 has 288 divisors, whose sum is σ = 6968928960. Its totient is φ = 506880000.

The previous prime is 2012099983. The next prime is 2012100037. The reversal of 2012100000 is 12102.

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, 5699824 + ... + 5700176.

It is an arithmetic number, because the mean of its divisors is an integer number (24197670).

Almost surely, 2^2012100000 is an apocalyptic number.

2012100000 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 2012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484464480).

2012100000 is an abundant number, since it is smaller than the sum of its proper divisors (4956828960).

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

2012100000 is an equidigital number, since it uses as much as digits as its factorization.

2012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

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

The square root of 2012100000 is about 44856.4376650665. The cubic root of 2012100000 is about 1262.4567838032.

Adding to 2012100000 its reverse (12102), we get a palindrome (2012112102).

The spelling of 2012100000 in words is "two billion, twelve million, one hundred thousand".