102198094812720 has 240 divisors, whose sum is σ = 358247752462080. Its totient is φ = 26059907326464.

The previous prime is 102198094812647. The next prime is 102198094812811. The reversal of 102198094812720 is 27218490891201.

102198094812720 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 98 + 0 + 9 + 481 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53022219 + ... + 54915861.

It is an arithmetic number, because the mean of its divisors is an integer number (1492698968592).

Almost surely, 2^{102198094812720} is an apocalyptic number.

102198094812720 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 102198094812720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179123876231040).

102198094812720 is an abundant number, since it is smaller than the sum of its proper divisors (256049657649360).

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

102198094812720 is a wasteful number, since it uses less digits than its factorization.

102198094812720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896944 (or 1896935 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 102198094812720 in words is "one hundred two trillion, one hundred ninety-eight billion, ninety-four million, eight hundred twelve thousand, seven hundred twenty".