102321103200 has 288 divisors, whose sum is σ = 336667951872. Its totient is φ = 26991360000.

The previous prime is 102321103193. The next prime is 102321103201. The reversal of 102321103200 is 2301123201.

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 102321103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321103201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119953974 + ... + 119954826.

It is an arithmetic number, because the mean of its divisors is an integer number (1168985944).

Almost surely, 2^102321103200 is an apocalyptic number.

102321103200 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 102321103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168333975936).

102321103200 is an abundant number, since it is smaller than the sum of its proper divisors (234346848672).

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

102321103200 is a wasteful number, since it uses less digits than its factorization.

102321103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102321103200 its reverse (2301123201), we get a palindrome (104622226401).

The spelling of 102321103200 in words is "one hundred two billion, three hundred twenty-one million, one hundred three thousand, two hundred".