14114256120100 has 288 divisors, whose sum is σ = 32403517292160. Its totient is φ = 5329067520000.

The previous prime is 14114256120079. The next prime is 14114256120101. The reversal of 14114256120100 is 102165241141.

14114256120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14114256120101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8466859467 + ... + 8466861133.

It is an arithmetic number, because the mean of its divisors is an integer number (112512212820).

Almost surely, 2^{14114256120100} is an apocalyptic number.

14114256120100 is a gapful number since it is divisible by the number (10) 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 14114256120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16201758646080).

14114256120100 is an abundant number, since it is smaller than the sum of its proper divisors (18289261172060).

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

14114256120100 is a wasteful number, since it uses less digits than its factorization.

14114256120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 14114256120100 in words is "fourteen trillion, one hundred fourteen billion, two hundred fifty-six million, one hundred twenty thousand, one hundred".