14100132112220 has 192 divisors, whose sum is σ = 37083747456000. Its totient is φ = 4375005696000.

The previous prime is 14100132112217. The next prime is 14100132112277. The reversal of 14100132112220 is 2221123100141.

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

It is a junction number, because it is equal to n+sod(n) for n = 14100132112192 and 14100132112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308129582 + ... + 308175338.

It is an arithmetic number, because the mean of its divisors is an integer number (193144518000).

Almost surely, 2^{14100132112220} is an apocalyptic number.

14100132112220 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 14100132112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541873728000).

14100132112220 is an abundant number, since it is smaller than the sum of its proper divisors (22983615343780).

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

14100132112220 is a wasteful number, since it uses less digits than its factorization.

14100132112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46684 (or 46682 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14100132112220 its reverse (2221123100141), we get a palindrome (16321255212361).

The spelling of 14100132112220 in words is "fourteen trillion, one hundred billion, one hundred thirty-two million, one hundred twelve thousand, two hundred twenty".