100011122321 has 6 divisors (see below), whose sum is σ = 109929580866. Its totient is φ = 90919202000.

The previous prime is 100011122317. The next prime is 100011122327. The reversal of 100011122321 is 123221110001.

It can be written as a sum of positive squares in only one way, i.e., 57630724096 + 42380398225 = 240064^2 + 205865^2 .

It is not a de Polignac number, because 100011122321 - 2² = 100011122317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011122296 and 100011122305.

It is not an unprimeable number, because it can be changed into a prime (100011122327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413268980 + ... + 413269221.

It is an arithmetic number, because the mean of its divisors is an integer number (18321596811).

Almost surely, 2^100011122321 is an apocalyptic number.

100011122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011122321 is a deficient number, since it is larger than the sum of its proper divisors (9918458545).

100011122321 is an equidigital number, since it uses as much as digits as its factorization.

100011122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826538223 (or 826538212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100011122321 its reverse (123221110001), we get a palindrome (223232232322).

The spelling of 100011122321 in words is "one hundred billion, eleven million, one hundred twenty-two thousand, three hundred twenty-one".