30112414421100 has 432 divisors, whose sum is σ = 100837027683840. Its totient is φ = 6913646784000.

The previous prime is 30112414421093. The next prime is 30112414421129. The reversal of 30112414421100 is 112441421103.

It is a happy number.

30112414421100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3849211789 + ... + 3849219611.

Almost surely, 2^{30112414421100} is an apocalyptic number.

30112414421100 is a gapful number since it is divisible by the number (30) 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 30112414421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50418513841920).

30112414421100 is an abundant number, since it is smaller than the sum of its proper divisors (70724613262740).

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

30112414421100 is a wasteful number, since it uses less digits than its factorization.

30112414421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 30112414421100 its reverse (112441421103), we get a palindrome (30224855842203).

The spelling of 30112414421100 in words is "thirty trillion, one hundred twelve billion, four hundred fourteen million, four hundred twenty-one thousand, one hundred".