102410203200 has 336 divisors, whose sum is σ = 358185110400. Its totient is φ = 25527418880.

The previous prime is 102410203187. The next prime is 102410203237. The reversal of 102410203200 is 2302014201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102410203200.

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 47 ways as a sum of consecutive naturals, for example, 12154189 + ... + 12162611.

Almost surely, 2^102410203200 is an apocalyptic number.

102410203200 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 102410203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179092555200).

102410203200 is an abundant number, since it is smaller than the sum of its proper divisors (255774907200).

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

102410203200 is a wasteful number, since it uses less digits than its factorization.

102410203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102410203200 its reverse (2302014201), we get a palindrome (104712217401).

The spelling of 102410203200 in words is "one hundred two billion, four hundred ten million, two hundred three thousand, two hundred".