2100330012 has 192 divisors, whose sum is σ = 5737019904. Its totient is φ = 592220160.

The previous prime is 2100329989. The next prime is 2100330013.

It is a happy number.

2100330012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2100330012² = 8822772318615840288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2100330012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100330013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15330808 + ... + 15330944.

It is an arithmetic number, because the mean of its divisors is an integer number (29880312).

Almost surely, 2^2100330012 is an apocalyptic number.

2100330012 is a gapful number since it is divisible by the number (22) 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 2100330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868509952).

2100330012 is an abundant number, since it is smaller than the sum of its proper divisors (3636689892).

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

2100330012 is a wasteful number, since it uses less digits than its factorization.

2100330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2100330012 is about 45829.3575342269. The cubic root of 2100330012 is about 1280.6462418694.

It can be divided in two parts, 21003 and 30012, that added together give a palindrome (51015).

The spelling of 2100330012 in words is "two billion, one hundred million, three hundred thirty thousand, twelve".