14124114100 has 18 divisors (see below), whose sum is σ = 30649327814. Its totient is φ = 5649645600.

The previous prime is 14124114089. The next prime is 14124114101. The reversal of 14124114100 is 141142141.

14124114100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 98922916 + 14025191184 = 9946^2 + 118428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124114101) 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 5 ways as a sum of consecutive naturals, for example, 70620471 + ... + 70620670.

Almost surely, 2^14124114100 is an apocalyptic number.

14124114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124114100 is an abundant number, since it is smaller than the sum of its proper divisors (16525213714).

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

14124114100 is a wasteful number, since it uses less digits than its factorization.

14124114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141241155 (or 141241148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 14124114100 its reverse (141142141), we get a palindrome (14265256241).

The spelling of 14124114100 in words is "fourteen billion, one hundred twenty-four million, one hundred fourteen thousand, one hundred".