10033201200 has 240 divisors, whose sum is σ = 36010838016. Its totient is φ = 2366438400.

The previous prime is 10033201187. The next prime is 10033201207. The reversal of 10033201200 is 210233001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (10033201207) 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, 478129 + ... + 498671.

Almost surely, 2^10033201200 is an apocalyptic number.

10033201200 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 10033201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005419008).

10033201200 is an abundant number, since it is smaller than the sum of its proper divisors (25977636816).

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

10033201200 is a wasteful number, since it uses less digits than its factorization.

10033201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20612 (or 20601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10033201200 its reverse (210233001), we get a palindrome (10243434201).

The spelling of 10033201200 in words is "ten billion, thirty-three million, two hundred one thousand, two hundred".