100022221312321 has 16 divisors (see below), whose sum is σ = 125733632727168. Its totient is φ = 77939393223120.

The previous prime is 100022221312259. The next prime is 100022221312327. The reversal of 100022221312321 is 123213122220001.

It is not a de Polignac number, because 100022221312321 - 2¹⁹ = 100022220788033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022221312292 and 100022221312301.

It is not an unprimeable number, because it can be changed into a prime (100022221312327) 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 15 ways as a sum of consecutive naturals, for example, 5367717490 + ... + 5367736123.

It is an arithmetic number, because the mean of its divisors is an integer number (7858352045448).

Almost surely, 2^{100022221312321} is an apocalyptic number.

100022221312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022221312321 is a deficient number, since it is larger than the sum of its proper divisors (25711411414847).

100022221312321 is an equidigital number, since it uses as much as digits as its factorization.

100022221312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735453653 (or 10735453631 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100022221312321 its reverse (123213122220001), we get a palindrome (223235343532322).

The spelling of 100022221312321 in words is "one hundred trillion, twenty-two billion, two hundred twenty-one million, three hundred twelve thousand, three hundred twenty-one".