101303220321 has 20 divisors (see below), whose sum is σ = 153588159472. Its totient is φ = 66527484408.

The previous prime is 101303220313. The next prime is 101303220367. The reversal of 101303220321 is 123022303101.

101303220321 is a `hidden beast` number, since 10 + 13 + 0 + 322 + 0 + 321 = 666.

It is not a de Polignac number, because 101303220321 - 2³ = 101303220313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101303220294 and 101303220303.

It is not an unprimeable number, because it can be changed into a prime (101303227321) 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 19 ways as a sum of consecutive naturals, for example, 9327835 + ... + 9338688.

Almost surely, 2^101303220321 is an apocalyptic number.

It is an amenable number.

101303220321 is a deficient number, since it is larger than the sum of its proper divisors (52284939151).

101303220321 is an equidigital number, since it uses as much as digits as its factorization.

101303220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18666602 (or 18666593 counting only the distinct ones).

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

Adding to 101303220321 its reverse (123022303101), we get a palindrome (224325523422).

The spelling of 101303220321 in words is "one hundred one billion, three hundred three million, two hundred twenty thousand, three hundred twenty-one".