100312200103320 has 192 divisors, whose sum is σ = 327304018473120. Its totient is φ = 26644139016192.

The previous prime is 100312200103267. The next prime is 100312200103331. The reversal of 100312200103320 is 23301002213001.

100312200103320 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 20 + 0 + 1 + 0 + 332 + 0 = 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 = 100312200103293 and 100312200103302.

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 47 ways as a sum of consecutive naturals, for example, 2239239162 + ... + 2239283958.

Almost surely, 2^{100312200103320} is an apocalyptic number.

100312200103320 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 100312200103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163652009236560).

100312200103320 is an abundant number, since it is smaller than the sum of its proper divisors (226991818369800).

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

100312200103320 is a wasteful number, since it uses less digits than its factorization.

100312200103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69274 (or 69267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100312200103320 its reverse (23301002213001), we get a palindrome (123613202316321).

The spelling of 100312200103320 in words is "one hundred trillion, three hundred twelve billion, two hundred million, one hundred three thousand, three hundred twenty".