100011330821 has 2 divisors, whose sum is σ = 100011330822. Its totient is φ = 100011330820.

The previous prime is 100011330799. The next prime is 100011330823. The reversal of 100011330821 is 128033110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98203890625 + 1807440196 = 313375^2 + 42514^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011330821 - 2³⁴ = 82831461637 is a prime.

Together with 100011330823, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011330793 and 100011330802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011330823) 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 as a sum of consecutive naturals, namely, 50005665410 + 50005665411.

It is an arithmetic number, because the mean of its divisors is an integer number (50005665411).

Almost surely, 2^100011330821 is an apocalyptic number.

It is an amenable number.

100011330821 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011330821 is an equidigital number, since it uses as much as digits as its factorization.

100011330821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100011330821 its reverse (128033110001), we get a palindrome (228044440822).

The spelling of 100011330821 in words is "one hundred billion, eleven million, three hundred thirty thousand, eight hundred twenty-one".