14004300101100 has 144 divisors (see below), whose sum is σ = 41470677790080. Its totient is φ = 3646816588800.

The previous prime is 14004300101089. The next prime is 14004300101119. The reversal of 14004300101100 is 110100340041.

It is a super-2 number, since 2×14004300101100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14004300101100.

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 47 ways as a sum of consecutive naturals, for example, 58717891 + ... + 58955909.

Almost surely, 2^{14004300101100} is an apocalyptic number.

14004300101100 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 14004300101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735338895040).

14004300101100 is an abundant number, since it is smaller than the sum of its proper divisors (27466377688980).

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

14004300101100 is a wasteful number, since it uses less digits than its factorization.

14004300101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242640 (or 242633 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 14004300101100 its reverse (110100340041), we get a palindrome (14114400441141).

The spelling of 14004300101100 in words is "fourteen trillion, four billion, three hundred million, one hundred one thousand, one hundred".