103200313211100 has 216 divisors, whose sum is σ = 374750655013280. Its totient is φ = 23265510819840.

The previous prime is 103200313210997. The next prime is 103200313211129. The reversal of 103200313211100 is 1112313002301.

103200313211100 is a `hidden beast` number, since 1 + 0 + 3 + 200 + 31 + 321 + 110 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111738745 + ... + 112658544.

Almost surely, 2^{103200313211100} is an apocalyptic number.

103200313211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103200313211100 is an abundant number, since it is smaller than the sum of its proper divisors (271550341802180).

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

103200313211100 is a wasteful number, since it uses less digits than its factorization.

103200313211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224397389 (or 224397379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103200313211100 its reverse (1112313002301), we get a palindrome (104312626213401).

The spelling of 103200313211100 in words is "one hundred three trillion, two hundred billion, three hundred thirteen million, two hundred eleven thousand, one hundred".