103312100120 has 256 divisors, whose sum is σ = 264408883200. Its totient is φ = 36114186240.

The previous prime is 103312100041. The next prime is 103312100123. The reversal of 103312100120 is 21001213301.

It is a junction number, because it is equal to n+sod(n) for n = 103312100095 and 103312100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312100123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235334861 + ... + 235335299.

It is an arithmetic number, because the mean of its divisors is an integer number (1032847200).

Almost surely, 2^103312100120 is an apocalyptic number.

103312100120 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 103312100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132204441600).

103312100120 is an abundant number, since it is smaller than the sum of its proper divisors (161096783080).

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

103312100120 is a wasteful number, since it uses less digits than its factorization.

103312100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103312100120 its reverse (21001213301), we get a palindrome (124313313421).

The spelling of 103312100120 in words is "one hundred three billion, three hundred twelve million, one hundred thousand, one hundred twenty".