102199560000 has 560 divisors, whose sum is σ = 354064263168. Its totient is φ = 25977600000.

The previous prime is 102199559977. The next prime is 102199560049. The reversal of 102199560000 is 65991201.

102199560000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 308759835 + ... + 308760165.

Almost surely, 2^102199560000 is an apocalyptic number.

102199560000 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 102199560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177032131584).

102199560000 is an abundant number, since it is smaller than the sum of its proper divisors (251864703168).

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

102199560000 is an equidigital number, since it uses as much as digits as its factorization.

102199560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The spelling of 102199560000 in words is "one hundred two billion, one hundred ninety-nine million, five hundred sixty thousand".