100130303322 has 72 divisors (see below), whose sum is σ = 252854788212. Its totient is φ = 28553616000.

The previous prime is 100130303311. The next prime is 100130303333. The reversal of 100130303322 is 223303031001.

100130303322 is a `hidden beast` number, since 10 + 0 + 1 + 30 + 303 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (100130303311) and next prime (100130303333).

It can be written as a sum of positive squares in 2 ways, for example, as 81675352521 + 18454950801 = 285789^2 + 135849^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100130303295 and 100130303304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350572 + ... + 568472.

Almost surely, 2^100130303322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126427394106).

100130303322 is an abundant number, since it is smaller than the sum of its proper divisors (152724484890).

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

100130303322 is a wasteful number, since it uses less digits than its factorization.

100130303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218444 (or 218434 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100130303322 its reverse (223303031001), we get a palindrome (323433334323).

The spelling of 100130303322 in words is "one hundred billion, one hundred thirty million, three hundred three thousand, three hundred twenty-two".