100323112131100 has 144 divisors (see below), whose sum is σ = 220020607654848. Its totient is φ = 39704389724160.

The previous prime is 100323112131071. The next prime is 100323112131157. The reversal of 100323112131100 is 1131211323001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3777639022 + ... + 3777665578.

It is an arithmetic number, because the mean of its divisors is an integer number (1527920886492).

Almost surely, 2^{100323112131100} is an apocalyptic number.

100323112131100 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 100323112131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110010303827424).

100323112131100 is an abundant number, since it is smaller than the sum of its proper divisors (119697495523748).

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

100323112131100 is a wasteful number, since it uses less digits than its factorization.

100323112131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27824 (or 27817 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100323112131100 its reverse (1131211323001), we get a palindrome (101454323454101).

The spelling of 100323112131100 in words is "one hundred trillion, three hundred twenty-three billion, one hundred twelve million, one hundred thirty-one thousand, one hundred".