2100031334412 has 96 divisors (see below), whose sum is σ = 5386648780800. Its totient is φ = 631493448000.

The previous prime is 2100031334389. The next prime is 2100031334413. The reversal of 2100031334412 is 2144331300012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2100031334413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11225037 + ... + 11410587.

It is an arithmetic number, because the mean of its divisors is an integer number (56110924800).

Almost surely, 2^{2100031334412} is an apocalyptic number.

2100031334412 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 2100031334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693324390400).

2100031334412 is an abundant number, since it is smaller than the sum of its proper divisors (3286617446388).

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

2100031334412 is a wasteful number, since it uses less digits than its factorization.

2100031334412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186227 (or 186225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2100031334412 its reverse (2144331300012), we get a palindrome (4244362634424).

The spelling of 2100031334412 in words is "two trillion, one hundred billion, thirty-one million, three hundred thirty-four thousand, four hundred twelve".