14104142110100 has 216 divisors, whose sum is σ = 36481759517952. Its totient is φ = 4716402163200.

The previous prime is 14104142110007. The next prime is 14104142110103. The reversal of 14104142110100 is 101124140141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104142110103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893394407 + ... + 893410193.

Almost surely, 2^{14104142110100} is an apocalyptic number.

14104142110100 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 14104142110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240879758976).

14104142110100 is an abundant number, since it is smaller than the sum of its proper divisors (22377617407852).

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

14104142110100 is a wasteful number, since it uses less digits than its factorization.

14104142110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20303 (or 20289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 14104142110100 its reverse (101124140141), we get a palindrome (14205266250241).

The spelling of 14104142110100 in words is "fourteen trillion, one hundred four billion, one hundred forty-two million, one hundred ten thousand, one hundred".