2124461103300 has 216 divisors, whose sum is σ = 6771331607040. Its totient is φ = 557026329600.

The previous prime is 2124461103299. The next prime is 2124461103343. The reversal of 2124461103300 is 33011644212.

It is a happy number.

2124461103300 is a `hidden beast` number, since 2 + 1 + 2 + 44 + 611 + 0 + 3 + 3 + 0 + 0 = 666.

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, 17073109 + ... + 17197091.

It is an arithmetic number, because the mean of its divisors is an integer number (31348757440).

Almost surely, 2^{2124461103300} is an apocalyptic number.

2124461103300 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 2124461103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385665803520).

2124461103300 is an abundant number, since it is smaller than the sum of its proper divisors (4646870503740).

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

2124461103300 is a wasteful number, since it uses less digits than its factorization.

2124461103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124323 (or 124313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2124461103300 its reverse (33011644212), we get a palindrome (2157472747512).

The spelling of 2124461103300 in words is "two trillion, one hundred twenty-four billion, four hundred sixty-one million, one hundred three thousand, three hundred".