14212342013100 has 432 divisors, whose sum is σ = 52487953056000. Its totient is φ = 2884525862400.

The previous prime is 14212342013071. The next prime is 14212342013131. The reversal of 14212342013100 is 131024321241.

14212342013100 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 2×14212342013100² (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 143 ways as a sum of consecutive naturals, for example, 42545526 + ... + 42878274.

Almost surely, 2^{14212342013100} is an apocalyptic number.

14212342013100 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 14212342013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26243976528000).

14212342013100 is an abundant number, since it is smaller than the sum of its proper divisors (38275611042900).

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

14212342013100 is a wasteful number, since it uses less digits than its factorization.

14212342013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332870 (or 332820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14212342013100 its reverse (131024321241), we get a palindrome (14343366334341).

The spelling of 14212342013100 in words is "fourteen trillion, two hundred twelve billion, three hundred forty-two million, thirteen thousand, one hundred".