100110130123300 has 216 divisors, whose sum is σ = 239214584364840. Its totient is φ = 36338007552000.

The previous prime is 100110130123207. The next prime is 100110130123331. The reversal of 100110130123300 is 3321031011001.

It can be written as a sum of positive squares in 12 ways, for example, as 15766919094564 + 84343211028736 = 3970758^2 + 9183856^2 .

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, 19115928282 + ... + 19115933518.

It is an arithmetic number, because the mean of its divisors is an integer number (1107474927615).

Almost surely, 2^{100110130123300} is an apocalyptic number.

100110130123300 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 100110130123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119607292182420).

100110130123300 is an abundant number, since it is smaller than the sum of its proper divisors (139104454241540).

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

100110130123300 is a wasteful number, since it uses less digits than its factorization.

100110130123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100110130123300 its reverse (3321031011001), we get a palindrome (103431161134301).

The spelling of 100110130123300 in words is "one hundred trillion, one hundred ten billion, one hundred thirty million, one hundred twenty-three thousand, three hundred".