100404313021 has 2 divisors, whose sum is σ = 100404313022. Its totient is φ = 100404313020.

The previous prime is 100404313019. The next prime is 100404313063. The reversal of 100404313021 is 120313404001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97087704921 + 3316608100 = 311589^2 + 57590^2 .

It is a cyclic number.

It is not a de Polignac number, because 100404313021 - 2¹ = 100404313019 is a prime.

Together with 100404313019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100404313021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100404313081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50202156510 + 50202156511.

It is an arithmetic number, because the mean of its divisors is an integer number (50202156511).

Almost surely, 2^100404313021 is an apocalyptic number.

It is an amenable number.

100404313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404313021 is an equidigital number, since it uses as much as digits as its factorization.

100404313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100404313021 its reverse (120313404001), we get a palindrome (220717717022).

The spelling of 100404313021 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, twenty-one".