102221011200 has 432 divisors, whose sum is σ = 420599079936. Its totient is φ = 21240422400.

The previous prime is 102221011183. The next prime is 102221011213. The reversal of 102221011200 is 2110122201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443829 + ... + 1512971.

Almost surely, 2^102221011200 is an apocalyptic number.

102221011200 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 102221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210299539968).

102221011200 is an abundant number, since it is smaller than the sum of its proper divisors (318378068736).

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

102221011200 is a wasteful number, since it uses less digits than its factorization.

102221011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69190 (or 69171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102221011200 its reverse (2110122201), we get a palindrome (104331133401).

The spelling of 102221011200 in words is "one hundred two billion, two hundred twenty-one million, eleven thousand, two hundred".