2112344412100 has 72 divisors (see below), whose sum is σ = 4961964124040. Its totient is φ = 775901306880.

The previous prime is 2112344412089. The next prime is 2112344412103. The reversal of 2112344412100 is 12144432112.

It can be written as a sum of positive squares in 12 ways, for example, as 1629727985664 + 482616426436 = 1276608^2 + 694706^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2112344412103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3958635 + ... + 4460434.

Almost surely, 2^{2112344412100} is an apocalyptic number.

2112344412100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112344412100 is an abundant number, since it is smaller than the sum of its proper divisors (2849619711940).

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

2112344412100 is a wasteful number, since it uses less digits than its factorization.

2112344412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8419289 (or 8419282 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2112344412100 its reverse (12144432112), we get a palindrome (2124488844212).

The spelling of 2112344412100 in words is "two trillion, one hundred twelve billion, three hundred forty-four million, four hundred twelve thousand, one hundred".