100103324341020 has 768 divisors, whose sum is σ = 399831615590400. Its totient is φ = 18037493268480.

The previous prime is 100103324341003. The next prime is 100103324341067. The reversal of 100103324341020 is 20143423301001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 63667716 + ... + 65221044.

It is an arithmetic number, because the mean of its divisors is an integer number (520614082800).

Almost surely, 2^{100103324341020} is an apocalyptic number.

100103324341020 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 100103324341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199915807795200).

100103324341020 is an abundant number, since it is smaller than the sum of its proper divisors (299728291249380).

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

100103324341020 is a wasteful number, since it uses less digits than its factorization.

100103324341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553438 (or 1553436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100103324341020 its reverse (20143423301001), we get a palindrome (120246747642021).

The spelling of 100103324341020 in words is "one hundred trillion, one hundred three billion, three hundred twenty-four million, three hundred forty-one thousand, twenty".