10221311113200 has 1080 divisors, whose sum is σ = 40964798259216. Its totient is φ = 2340264960000.

The previous prime is 10221311113193. The next prime is 10221311113201. The reversal of 10221311113200 is 231111312201.

10221311113200 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 311 + 11 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221311113201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5675352300 + ... + 5675354100.

Almost surely, 2^{10221311113200} is an apocalyptic number.

10221311113200 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 10221311113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482399129608).

10221311113200 is an abundant number, since it is smaller than the sum of its proper divisors (30743487146016).

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

10221311113200 is a wasteful number, since it uses less digits than its factorization.

10221311113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10221311113200 its reverse (231111312201), we get a palindrome (10452422425401).

The spelling of 10221311113200 in words is "ten trillion, two hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, two hundred".