102221203200 has 432 divisors, whose sum is σ = 344872510080. Its totient is φ = 26657832960.

The previous prime is 102221203111. The next prime is 102221203223. The reversal of 102221203200 is 2302122201.

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 102221203200.

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, 294585427 + ... + 294585773.

Almost surely, 2^102221203200 is an apocalyptic number.

102221203200 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 102221203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172436255040).

102221203200 is an abundant number, since it is smaller than the sum of its proper divisors (242651306880).

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

102221203200 is a wasteful number, since it uses less digits than its factorization.

102221203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

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

Adding to 102221203200 its reverse (2302122201), we get a palindrome (104523325401).

The spelling of 102221203200 in words is "one hundred two billion, two hundred twenty-one million, two hundred three thousand, two hundred".