100221310323 has 24 divisors (see below), whose sum is σ = 148858950240. Its totient is φ = 64936679040.

The previous prime is 100221310313. The next prime is 100221310327. The reversal of 100221310323 is 323013122001.

100221310323 is a `hidden beast` number, since 10 + 0 + 2 + 21 + 310 + 323 = 666.

It is not a de Polignac number, because 100221310323 - 2¹³ = 100221302131 is a prime.

It is a super-2 number, since 2×100221310323² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221310296 and 100221310305.

It is not an unprimeable number, because it can be changed into a prime (100221310327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419308 + ... + 613401.

It is an arithmetic number, because the mean of its divisors is an integer number (6202456260).

Almost surely, 2^100221310323 is an apocalyptic number.

100221310323 is a deficient number, since it is larger than the sum of its proper divisors (48637639917).

100221310323 is a wasteful number, since it uses less digits than its factorization.

100221310323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033019 (or 1033016 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100221310323 its reverse (323013122001), we get a palindrome (423234432324).

The spelling of 100221310323 in words is "one hundred billion, two hundred twenty-one million, three hundred ten thousand, three hundred twenty-three".