100331122332321 has 12 divisors (see below), whose sum is σ = 145811828776848. Its totient is φ = 66477062648664.

The previous prime is 100331122332313. The next prime is 100331122332379. The reversal of 100331122332321 is 123233221133001.

100331122332321 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 1 + 1 + 2 + 2 + 332 + 321 = 666.

It is not a de Polignac number, because 100331122332321 - 2³ = 100331122332313 is a prime.

It is a super-2 number, since 2×100331122332321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100331122336321) 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 11 ways as a sum of consecutive naturals, for example, 34196018415 + ... + 34196021348.

It is an arithmetic number, because the mean of its divisors is an integer number (12150985731404).

Almost surely, 2^{100331122332321} is an apocalyptic number.

It is an amenable number.

100331122332321 is a deficient number, since it is larger than the sum of its proper divisors (45480706444527).

100331122332321 is a wasteful number, since it uses less digits than its factorization.

100331122332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68392039932 (or 68392039929 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100331122332321 its reverse (123233221133001), we get a palindrome (223564343465322).

The spelling of 100331122332321 in words is "one hundred trillion, three hundred thirty-one billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred twenty-one".