100131320220 has 192 divisors, whose sum is σ = 301229300736. Its totient is φ = 24763576320.

The previous prime is 100131320183. The next prime is 100131320221. The reversal of 100131320220 is 22023131001.

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 100131320220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131320221) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22165402 + ... + 22169918.

It is an arithmetic number, because the mean of its divisors is an integer number (1568902608).

Almost surely, 2^100131320220 is an apocalyptic number.

100131320220 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 100131320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150614650368).

100131320220 is an abundant number, since it is smaller than the sum of its proper divisors (201097980516).

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

100131320220 is a wasteful number, since it uses less digits than its factorization.

100131320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4858 counting only the distinct ones).

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

Adding to 100131320220 its reverse (22023131001), we get a palindrome (122154451221).

The spelling of 100131320220 in words is "one hundred billion, one hundred thirty-one million, three hundred twenty thousand, two hundred twenty".