14200211100 has 72 divisors (see below), whose sum is σ = 41234510128. Its totient is φ = 3773030400.

The previous prime is 14200211099. The next prime is 14200211101. The reversal of 14200211100 is 111200241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14200211099) and next prime (14200211101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2341 + ... + 168540.

Almost surely, 2^14200211100 is an apocalyptic number.

14200211100 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 14200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617255064).

14200211100 is an abundant number, since it is smaller than the sum of its proper divisors (27034299028).

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

14200211100 is a wasteful number, since it uses less digits than its factorization.

14200211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171175 (or 171168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14200211100 its reverse (111200241), we get a palindrome (14311411341).

The spelling of 14200211100 in words is "fourteen billion, two hundred million, two hundred eleven thousand, one hundred".