10002022321200 has 960 divisors, whose sum is σ = 41055384287232. Its totient is φ = 2025094348800.

The previous prime is 10002022321177. The next prime is 10002022321201. The reversal of 10002022321200 is 212322020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10002022321200.

It is not an unprimeable number, because it can be changed into a prime (10002022321201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294932245 + ... + 294966155.

Almost surely, 2^{10002022321200} is an apocalyptic number.

10002022321200 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 10002022321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527692143616).

10002022321200 is an abundant number, since it is smaller than the sum of its proper divisors (31053361966032).

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

10002022321200 is a wasteful number, since it uses less digits than its factorization.

10002022321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34062 (or 34051 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10002022321200 its reverse (212322020001), we get a palindrome (10214344341201).

The spelling of 10002022321200 in words is "ten trillion, two billion, twenty-two million, three hundred twenty-one thousand, two hundred".