100320121303220 has 192 divisors, whose sum is σ = 272947955105280. Its totient is φ = 30077280847872.

The previous prime is 100320121303169. The next prime is 100320121303253. The reversal of 100320121303220 is 22303121023001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100320121303192 and 100320121303201.

It is a congruent number.

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, 988003574 + ... + 988105106.

It is an arithmetic number, because the mean of its divisors is an integer number (1421603932840).

Almost surely, 2^{100320121303220} is an apocalyptic number.

100320121303220 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 100320121303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136473977552640).

100320121303220 is an abundant number, since it is smaller than the sum of its proper divisors (172627833802060).

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

100320121303220 is a wasteful number, since it uses less digits than its factorization.

100320121303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130154 (or 130152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100320121303220 its reverse (22303121023001), we get a palindrome (122623242326221).

The spelling of 100320121303220 in words is "one hundred trillion, three hundred twenty billion, one hundred twenty-one million, three hundred three thousand, two hundred twenty".