103122320000100 has 72 divisors (see below), whose sum is σ = 299881800586368. Its totient is φ = 27359695036800.

The previous prime is 103122320000053. The next prime is 103122320000153. The reversal of 103122320000100 is 1000023221301.

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 103122320000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872380156 + ... + 872498355.

It is an arithmetic number, because the mean of its divisors is an integer number (4165025008144).

Almost surely, 2^{103122320000100} is an apocalyptic number.

103122320000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122320000100 is an abundant number, since it is smaller than the sum of its proper divisors (196759480586268).

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

103122320000100 is a wasteful number, since it uses less digits than its factorization.

103122320000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744878725 (or 1744878718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103122320000100 its reverse (1000023221301), we get a palindrome (104122343221401).

The spelling of 103122320000100 in words is "one hundred three trillion, one hundred twenty-two billion, three hundred twenty million, one hundred", and thus it is an aban number.