10013214200 has 144 divisors (see below), whose sum is σ = 26980695000. Its totient is φ = 3426764800.

The previous prime is 10013214193. The next prime is 10013214203. The reversal of 10013214200 is 241231001.

10013214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 627926 + ... + 643674.

Almost surely, 2^10013214200 is an apocalyptic number.

10013214200 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 10013214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490347500).

10013214200 is an abundant number, since it is smaller than the sum of its proper divisors (16967480800).

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

10013214200 is a wasteful number, since it uses less digits than its factorization.

10013214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10013214200 its reverse (241231001), we get a palindrome (10254445201).

The spelling of 10013214200 in words is "ten billion, thirteen million, two hundred fourteen thousand, two hundred".