10221133030200 has 192 divisors, whose sum is σ = 35269341948000. Its totient is φ = 2720741253120.

The previous prime is 10221133030193. The next prime is 10221133030223. The reversal of 10221133030200 is 203033112201.

10221133030200 is a `hidden beast` number, since 1 + 0 + 22 + 11 + 330 + 302 + 0 + 0 = 666.

It is a super-2 number, since 2×10221133030200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308696 + ... + 4706904.

Almost surely, 2^{10221133030200} is an apocalyptic number.

10221133030200 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 10221133030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634670974000).

10221133030200 is an abundant number, since it is smaller than the sum of its proper divisors (25048208917800).

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

10221133030200 is a wasteful number, since it uses less digits than its factorization.

10221133030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398791 (or 3398776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10221133030200 its reverse (203033112201), we get a palindrome (10424166142401).

The spelling of 10221133030200 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, thirty thousand, two hundred".