100131300232100 has 144 divisors (see below), whose sum is σ = 234925497555840. Its totient is φ = 36951163392000.

The previous prime is 100131300232087. The next prime is 100131300232109. The reversal of 100131300232100 is 1232003131001.

It is not an unprimeable number, because it can be changed into a prime (100131300232109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230900 + ... + 14153300.

It is an arithmetic number, because the mean of its divisors is an integer number (1631427066360).

Almost surely, 2^{100131300232100} is an apocalyptic number.

100131300232100 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 100131300232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117462748777920).

100131300232100 is an abundant number, since it is smaller than the sum of its proper divisors (134794197323740).

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

100131300232100 is a wasteful number, since it uses less digits than its factorization.

100131300232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922550 (or 13922543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100131300232100 its reverse (1232003131001), we get a palindrome (101363303363101).

The spelling of 100131300232100 in words is "one hundred trillion, one hundred thirty-one billion, three hundred million, two hundred thirty-two thousand, one hundred".