101222310312321 has 16 divisors (see below), whose sum is σ = 147233460535488. Its totient is φ = 61346434246400.

The previous prime is 101222310312269. The next prime is 101222310312323. The reversal of 101222310312321 is 123213013222101.

It is a cyclic number.

It is not a de Polignac number, because 101222310312321 - 2¹¹ = 101222310310273 is a prime.

It is a super-2 number, since 2×101222310312321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101222310312291 and 101222310312300.

It is not an unprimeable number, because it can be changed into a prime (101222310312323) 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, 5590356 + ... + 15287141.

It is an arithmetic number, because the mean of its divisors is an integer number (9202091283468).

Almost surely, 2^{101222310312321} is an apocalyptic number.

101222310312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101222310312321 is a deficient number, since it is larger than the sum of its proper divisors (46011150223167).

101222310312321 is a wasteful number, since it uses less digits than its factorization.

101222310312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024432.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101222310312321 its reverse (123213013222101), we get a palindrome (224435323534422).

The spelling of 101222310312321 in words is "one hundred one trillion, two hundred twenty-two billion, three hundred ten million, three hundred twelve thousand, three hundred twenty-one".