100221123321 has 12 divisors (see below), whose sum is σ = 157924194480. Its totient is φ = 60740074680.

The previous prime is 100221123311. The next prime is 100221123347. The reversal of 100221123321 is 123321122001.

100221123321 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 123 + 321 = 666.

It is not a de Polignac number, because 100221123321 - 2¹⁵ = 100221090553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100221123294 and 100221123303.

It is not an unprimeable number, because it can be changed into a prime (100221123311) 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 11 ways as a sum of consecutive naturals, for example, 506167191 + ... + 506167388.

It is an arithmetic number, because the mean of its divisors is an integer number (13160349540).

Almost surely, 2^100221123321 is an apocalyptic number.

100221123321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221123321 is a deficient number, since it is larger than the sum of its proper divisors (57703071159).

100221123321 is a wasteful number, since it uses less digits than its factorization.

100221123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012334596 (or 1012334593 counting only the distinct ones).

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

Adding to 100221123321 its reverse (123321122001), we get a palindrome (223542245322).

The spelling of 100221123321 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-one".