103101321120 has 384 divisors, whose sum is σ = 376734758400. Its totient is φ = 23215030272.

The previous prime is 103101321119. The next prime is 103101321133. The reversal of 103101321120 is 21123101301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103101321120.

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 63 ways as a sum of consecutive naturals, for example, 72148566 + ... + 72149994.

It is an arithmetic number, because the mean of its divisors is an integer number (981080100).

Almost surely, 2^103101321120 is an apocalyptic number.

103101321120 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 103101321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188367379200).

103101321120 is an abundant number, since it is smaller than the sum of its proper divisors (273633437280).

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

103101321120 is a wasteful number, since it uses less digits than its factorization.

103101321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103101321120 its reverse (21123101301), we get a palindrome (124224422421).

The spelling of 103101321120 in words is "one hundred three billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty".