103112321120 has 96 divisors (see below), whose sum is σ = 256134856320. Its totient is φ = 39169751040.

The previous prime is 103112321113. The next prime is 103112321141. The reversal of 103112321120 is 21123211301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100889 + ... + 465191.

It is an arithmetic number, because the mean of its divisors is an integer number (2668071420).

Almost surely, 2^103112321120 is an apocalyptic number.

103112321120 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 103112321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128067428160).

103112321120 is an abundant number, since it is smaller than the sum of its proper divisors (153022535200).

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

103112321120 is a wasteful number, since it uses less digits than its factorization.

103112321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364408 (or 364400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103112321120 its reverse (21123211301), we get a palindrome (124235532421).

The spelling of 103112321120 in words is "one hundred three billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty".