100303013312100 has 216 divisors, whose sum is σ = 316778610886920. Its totient is φ = 26544725975040.

The previous prime is 100303013312077. The next prime is 100303013312129. The reversal of 100303013312100 is 1213310303001.

It is a happy number.

100303013312100 is a `hidden beast` number, since 1 + 0 + 0 + 30 + 301 + 331 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6148128529764 + 94154884782336 = 2479542^2 + 9703344^2 .

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

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, 442903696 + ... + 443130104.

It is an arithmetic number, because the mean of its divisors is an integer number (1466567642995).

Almost surely, 2^{100303013312100} is an apocalyptic number.

100303013312100 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 100303013312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158389305443460).

100303013312100 is an abundant number, since it is smaller than the sum of its proper divisors (216475597574820).

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

100303013312100 is a wasteful number, since it uses less digits than its factorization.

100303013312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230159 (or 230149 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100303013312100 its reverse (1213310303001), we get a palindrome (101516323615101).

The spelling of 100303013312100 in words is "one hundred trillion, three hundred three billion, thirteen million, three hundred twelve thousand, one hundred".