100103321220 has 192 divisors, whose sum is σ = 347447149056. Its totient is φ = 21009530880.

The previous prime is 100103321173. The next prime is 100103321333. The reversal of 100103321220 is 22123301001.

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 100103321220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121764 + ... + 463716.

It is an arithmetic number, because the mean of its divisors is an integer number (1809620568).

Almost surely, 2^100103321220 is an apocalyptic number.

100103321220 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 100103321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173723574528).

100103321220 is an abundant number, since it is smaller than the sum of its proper divisors (247343827836).

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

100103321220 is a wasteful number, since it uses less digits than its factorization.

100103321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342030 (or 342028 counting only the distinct ones).

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

Adding to 100103321220 its reverse (22123301001), we get a palindrome (122226622221).

The spelling of 100103321220 in words is "one hundred billion, one hundred three million, three hundred twenty-one thousand, two hundred twenty".