100103310321100 has 72 divisors (see below), whose sum is σ = 218433465120416. Its totient is φ = 39818433600000.

The previous prime is 100103310321073. The next prime is 100103310321143. The reversal of 100103310321100 is 1123013301001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489158800 + ... + 489363400.

Almost surely, 2^{100103310321100} is an apocalyptic number.

100103310321100 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 100103310321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109216732560208).

100103310321100 is an abundant number, since it is smaller than the sum of its proper divisors (118330154799316).

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

100103310321100 is a wasteful number, since it uses less digits than its factorization.

100103310321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231827 (or 231820 counting only the distinct ones).

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

Adding to 100103310321100 its reverse (1123013301001), we get a palindrome (101226323622101).

The spelling of 100103310321100 in words is "one hundred trillion, one hundred three billion, three hundred ten million, three hundred twenty-one thousand, one hundred".