100131221322 has 96 divisors (see below), whose sum is σ = 244401917760. Its totient is φ = 29364975360.

The previous prime is 100131221287. The next prime is 100131221329. The reversal of 100131221322 is 223122131001.

100131221322 is a `hidden beast` number, since 10 + 0 + 1 + 312 + 21 + 322 = 666.

It is a super-2 number, since 2×100131221322² (a number of 23 digits) contains 22 as substring.

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 = 100131221295 and 100131221304.

It is not an unprimeable number, because it can be changed into a prime (100131221329) 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 47 ways as a sum of consecutive naturals, for example, 874078 + ... + 981974.

It is an arithmetic number, because the mean of its divisors is an integer number (2545853310).

Almost surely, 2^100131221322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131221322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122200958880).

100131221322 is an abundant number, since it is smaller than the sum of its proper divisors (144270696438).

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

100131221322 is a wasteful number, since it uses less digits than its factorization.

100131221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108068 (or 108065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100131221322 its reverse (223122131001), we get a palindrome (323253352323).

The spelling of 100131221322 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty-two".