102221683200 has 1440 divisors, whose sum is σ = 461741280000. Its totient is φ = 21459271680.

The previous prime is 102221683169. The next prime is 102221683259. The reversal of 102221683200 is 2386122201.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 513676701 + ... + 513676899.

Almost surely, 2^102221683200 is an apocalyptic number.

102221683200 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 102221683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230870640000).

102221683200 is an abundant number, since it is smaller than the sum of its proper divisors (359519596800).

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

102221683200 is a wasteful number, since it uses less digits than its factorization.

102221683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 102221683200 in words is "one hundred two billion, two hundred twenty-one million, six hundred eighty-three thousand, two hundred".