10010023200 has 288 divisors, whose sum is σ = 37778832000. Its totient is φ = 2553154560.

The previous prime is 10010023189. The next prime is 10010023217. The reversal of 10010023200 is 232001001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486726 + ... + 506874.

It is an arithmetic number, because the mean of its divisors is an integer number (131176500).

Almost surely, 2^10010023200 is an apocalyptic number.

10010023200 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 10010023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416000).

10010023200 is an abundant number, since it is smaller than the sum of its proper divisors (27768808800).

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

10010023200 is a wasteful number, since it uses less digits than its factorization.

10010023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10010023200 its reverse (232001001), we get a palindrome (10242024201).

The spelling of 10010023200 in words is "ten billion, ten million, twenty-three thousand, two hundred".