10111424200 has 96 divisors (see below), whose sum is σ = 24885907200. Its totient is φ = 3814191360.

The previous prime is 10111424179. The next prime is 10111424221. The reversal of 10111424200 is 242411101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10111424179) and next prime (10111424221).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229129 + ... + 269671.

It is an arithmetic number, because the mean of its divisors is an integer number (259228200).

Almost surely, 2^10111424200 is an apocalyptic number.

10111424200 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 10111424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442953600).

10111424200 is an abundant number, since it is smaller than the sum of its proper divisors (14774483000).

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

10111424200 is a wasteful number, since it uses less digits than its factorization.

10111424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40631 (or 40622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10111424200 its reverse (242411101), we get a palindrome (10353835301).

The spelling of 10111424200 in words is "ten billion, one hundred eleven million, four hundred twenty-four thousand, two hundred".