14211412301100 has 288 divisors, whose sum is σ = 47538017372160. Its totient is φ = 3210634690560.

The previous prime is 14211412301081. The next prime is 14211412301123. The reversal of 14211412301100 is 110321411241.

It is a super-2 number, since 2×14211412301100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 564986124 + ... + 565011276.

It is an arithmetic number, because the mean of its divisors is an integer number (165062560320).

Almost surely, 2^{14211412301100} is an apocalyptic number.

14211412301100 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 14211412301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769008686080).

14211412301100 is an abundant number, since it is smaller than the sum of its proper divisors (33326605071060).

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

14211412301100 is a wasteful number, since it uses less digits than its factorization.

14211412301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28289 (or 28282 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 14211412301100 its reverse (110321411241), we get a palindrome (14321733712341).

The spelling of 14211412301100 in words is "fourteen trillion, two hundred eleven billion, four hundred twelve million, three hundred one thousand, one hundred".