103201110112320 has 168 divisors, whose sum is σ = 387238711017600. Its totient is φ = 25018450928640.

The previous prime is 103201110112319. The next prime is 103201110112333. The reversal of 103201110112320 is 23211011102301.

103201110112320 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 1 + 10 + 1 + 12 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103201110112293 and 103201110112302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628773720 + ... + 1628837079.

Almost surely, 2^{103201110112320} is an apocalyptic number.

103201110112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103201110112320 is an abundant number, since it is smaller than the sum of its proper divisors (284037600905280).

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

103201110112320 is a wasteful number, since it uses less digits than its factorization.

103201110112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257610833 (or 3257610820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103201110112320 its reverse (23211011102301), we get a palindrome (126412121214621).

The spelling of 103201110112320 in words is "one hundred three trillion, two hundred one billion, one hundred ten million, one hundred twelve thousand, three hundred twenty".