14100125334100 has 72 divisors (see below), whose sum is σ = 34889197057848. Its totient is φ = 4899953049600.

The previous prime is 14100125334077. The next prime is 14100125334143. The reversal of 14100125334100 is 143352100141.

It can be written as a sum of positive squares in 12 ways, for example, as 9585129312196 + 4514996021904 = 3095986^2 + 2124852^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 318985261 + ... + 319029460.

It is an arithmetic number, because the mean of its divisors is an integer number (484572181359).

Almost surely, 2^{14100125334100} is an apocalyptic number.

14100125334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100125334100 is an abundant number, since it is smaller than the sum of its proper divisors (20789071723748).

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

14100125334100 is a wasteful number, since it uses less digits than its factorization.

14100125334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638014765 (or 638014758 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 14100125334100 its reverse (143352100141), we get a palindrome (14243477434241).

The spelling of 14100125334100 in words is "fourteen trillion, one hundred billion, one hundred twenty-five million, three hundred thirty-four thousand, one hundred".