14210012301100 has 288 divisors, whose sum is σ = 38846355674112. Its totient is φ = 4382851200000.

The previous prime is 14210012301097. The next prime is 14210012301127. The reversal of 14210012301100 is 110321001241.

14210012301100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14210012301100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1884363330 + ... + 1884370870.

It is an arithmetic number, because the mean of its divisors is an integer number (134883179424).

Almost surely, 2^{14210012301100} is an apocalyptic number.

14210012301100 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 14210012301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423177837056).

14210012301100 is an abundant number, since it is smaller than the sum of its proper divisors (24636343373012).

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

14210012301100 is a wasteful number, since it uses less digits than its factorization.

14210012301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 14210012301100 its reverse (110321001241), we get a palindrome (14320333302341).

The spelling of 14210012301100 in words is "fourteen trillion, two hundred ten billion, twelve million, three hundred one thousand, one hundred".