101321220310321 has 16 divisors (see below), whose sum is σ = 113564489532480. Its totient is φ = 89615515438080.

The previous prime is 101321220310309. The next prime is 101321220310327. The reversal of 101321220310321 is 123013022123101.

It is a cyclic number.

It is not a de Polignac number, because 101321220310321 - 2²¹ = 101321218213169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101321220310292 and 101321220310301.

It is not an unprimeable number, because it can be changed into a prime (101321220310327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804674076 + ... + 804799981.

It is an arithmetic number, because the mean of its divisors is an integer number (7097780595780).

Almost surely, 2^{101321220310321} is an apocalyptic number.

101321220310321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101321220310321 is a deficient number, since it is larger than the sum of its proper divisors (12243269222159).

101321220310321 is a wasteful number, since it uses less digits than its factorization.

101321220310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609474224.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101321220310321 its reverse (123013022123101), we get a palindrome (224334242433422).

The spelling of 101321220310321 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred ten thousand, three hundred twenty-one".