102389985667200 has 1536 divisors, whose sum is σ = 427940275783680. Its totient is φ = 20898496512000.

The previous prime is 102389985667157. The next prime is 102389985667237. The reversal of 102389985667200 is 2766589983201.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53523253444 + ... + 53523255356.

It is an arithmetic number, because the mean of its divisors is an integer number (278606950380).

Almost surely, 2^{102389985667200} is an apocalyptic number.

102389985667200 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 102389985667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213970137891840).

102389985667200 is an abundant number, since it is smaller than the sum of its proper divisors (325550290116480).

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

102389985667200 is a wasteful number, since it uses less digits than its factorization.

102389985667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 102389985667200 in words is "one hundred two trillion, three hundred eighty-nine billion, nine hundred eighty-five million, six hundred sixty-seven thousand, two hundred".