103312112103200 has 432 divisors, whose sum is σ = 340493192415936. Its totient is φ = 29724161126400.

The previous prime is 103312112103199. The next prime is 103312112103241. The reversal of 103312112103200 is 2301211213301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5448434 + ... + 15372366.

It is an arithmetic number, because the mean of its divisors is an integer number (788178686148).

Almost surely, 2^{103312112103200} is an apocalyptic number.

103312112103200 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 103312112103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170246596207968).

103312112103200 is an abundant number, since it is smaller than the sum of its proper divisors (237181080312736).

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

103312112103200 is a wasteful number, since it uses less digits than its factorization.

103312112103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923997 (or 9923971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103312112103200 its reverse (2301211213301), we get a palindrome (105613323316501).

The spelling of 103312112103200 in words is "one hundred three trillion, three hundred twelve billion, one hundred twelve million, one hundred three thousand, two hundred".