102198866112 has 168 divisors, whose sum is σ = 335146290336. Its totient is φ = 29167939584.

The previous prime is 102198866101. The next prime is 102198866117. The reversal of 102198866112 is 211668891201.

It is a happy number.

102198866112 is a `hidden beast` number, since 1 + 0 + 21 + 9 + 8 + 8 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (102198866117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3829198 + ... + 3855794.

Almost surely, 2^102198866112 is an apocalyptic number.

102198866112 is a gapful number since it is divisible by the number (12) 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 102198866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167573145168).

102198866112 is an abundant number, since it is smaller than the sum of its proper divisors (232947424224).

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

102198866112 is a wasteful number, since it uses less digits than its factorization.

102198866112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27575 (or 27562 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 102198866112 in words is "one hundred two billion, one hundred ninety-eight million, eight hundred sixty-six thousand, one hundred twelve".