100123122331321 has 16 divisors (see below), whose sum is σ = 101934130233600. Its totient is φ = 98324111668608.

The previous prime is 100123122331319. The next prime is 100123122331363. The reversal of 100123122331321 is 123133221321001.

It is not a de Polignac number, because 100123122331321 - 2¹ = 100123122331319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123122331391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120791275 + ... + 121617343.

It is an arithmetic number, because the mean of its divisors is an integer number (6370883139600).

Almost surely, 2^{100123122331321} is an apocalyptic number.

It is an amenable number.

100123122331321 is a deficient number, since it is larger than the sum of its proper divisors (1811007902279).

100123122331321 is an equidigital number, since it uses as much as digits as its factorization.

100123122331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833328.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 100123122331321 its reverse (123133221321001), we get a palindrome (223256343652322).

The spelling of 100123122331321 in words is "one hundred trillion, one hundred twenty-three billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty-one".