10011234200 has 192 divisors, whose sum is σ = 26274568320. Its totient is φ = 3515904000.

The previous prime is 10011234187. The next prime is 10011234203. The reversal of 10011234200 is 243211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011234203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9175655 + ... + 9176745.

It is an arithmetic number, because the mean of its divisors is an integer number (136846710).

Almost surely, 2^10011234200 is an apocalyptic number.

10011234200 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 10011234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137284160).

10011234200 is an abundant number, since it is smaller than the sum of its proper divisors (16263334120).

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

10011234200 is a wasteful number, since it uses less digits than its factorization.

10011234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1249 counting only the distinct ones).

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

Adding to 10011234200 its reverse (243211001), we get a palindrome (10254445201).

The spelling of 10011234200 in words is "ten billion, eleven million, two hundred thirty-four thousand, two hundred".