103103300100120 has 128 divisors (see below), whose sum is σ = 310290717600000. Its totient is φ = 27407157972480.

The previous prime is 103103300100083. The next prime is 103103300100127. The reversal of 103103300100120 is 21001003301301.

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 103103300100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103103300100127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 50434690 + ... + 52439150.

It is an arithmetic number, because the mean of its divisors is an integer number (2424146231250).

Almost surely, 2^{103103300100120} is an apocalyptic number.

103103300100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103103300100120 is an abundant number, since it is smaller than the sum of its proper divisors (207187417499880).

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

103103300100120 is a wasteful number, since it uses less digits than its factorization.

103103300100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005833 (or 2005829 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103103300100120 its reverse (21001003301301), we get a palindrome (124104303401421).

The spelling of 103103300100120 in words is "one hundred three trillion, one hundred three billion, three hundred million, one hundred thousand, one hundred twenty".