100311221322 has 48 divisors (see below), whose sum is σ = 234197407080. Its totient is φ = 30846807936.

The previous prime is 100311221267. The next prime is 100311221323. The reversal of 100311221322 is 223122113001.

100311221322 is a `hidden beast` number, since 10 + 0 + 311 + 2 + 21 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67600520001 + 32710701321 = 260001^2 + 180861^2 .

It is a super-2 number, since 2×100311221322² (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 = 100311221295 and 100311221304.

It is not an unprimeable number, because it can be changed into a prime (100311221323) 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 23 ways as a sum of consecutive naturals, for example, 274488 + ... + 525324.

Almost surely, 2^100311221322 is an apocalyptic number.

100311221322 is an abundant number, since it is smaller than the sum of its proper divisors (133886185758).

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

100311221322 is a wasteful number, since it uses less digits than its factorization.

100311221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252567 (or 252564 counting only the distinct ones).

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

Adding to 100311221322 its reverse (223122113001), we get a palindrome (323433334323).

The spelling of 100311221322 in words is "one hundred billion, three hundred eleven million, two hundred twenty-one thousand, three hundred twenty-two".