101223300321 has 96 divisors (see below), whose sum is σ = 179764928000. Its totient is φ = 55909751040.

The previous prime is 101223300313. The next prime is 101223300391. The reversal of 101223300321 is 123003322101.

101223300321 is a `hidden beast` number, since 1 + 0 + 12 + 2 + 330 + 0 + 321 = 666.

It is not a de Polignac number, because 101223300321 - 2³ = 101223300313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101223300294 and 101223300303.

It is not an unprimeable number, because it can be changed into a prime (101223300391) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3340125 + ... + 3370293.

Almost surely, 2^101223300321 is an apocalyptic number.

101223300321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223300321 is a deficient number, since it is larger than the sum of its proper divisors (78541627679).

101223300321 is a wasteful number, since it uses less digits than its factorization.

101223300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30292 (or 30275 counting only the distinct ones).

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

Adding to 101223300321 its reverse (123003322101), we get a palindrome (224226622422).

The spelling of 101223300321 in words is "one hundred one billion, two hundred twenty-three million, three hundred thousand, three hundred twenty-one".