100103313130100 has 288 divisors, whose sum is σ = 263787666508800. Its totient is φ = 32208348211200.

The previous prime is 100103313130087. The next prime is 100103313130103. The reversal of 100103313130100 is 1031313301001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103313130103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2721733511 + ... + 2721770289.

It is an arithmetic number, because the mean of its divisors is an integer number (915929397600).

Almost surely, 2^{100103313130100} is an apocalyptic number.

100103313130100 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 100103313130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893833254400).

100103313130100 is an abundant number, since it is smaller than the sum of its proper divisors (163684353378700).

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

100103313130100 is a wasteful number, since it uses less digits than its factorization.

100103313130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38743 (or 38736 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100103313130100 its reverse (1031313301001), we get a palindrome (101134626431101).

The spelling of 100103313130100 in words is "one hundred trillion, one hundred three billion, three hundred thirteen million, one hundred thirty thousand, one hundred".