404002113101 has 2 divisors, whose sum is σ = 404002113102. Its totient is φ = 404002113100.

The previous prime is 404002113079. The next prime is 404002113103. The reversal of 404002113101 is 101311200404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344743948201 + 59258164900 = 587149^2 + 243430^2 .

It is a cyclic number.

It is not a de Polignac number, because 404002113101 - 2¹⁴ = 404002096717 is a prime.

Together with 404002113103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404002113101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404002113103) 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, 202001056550 + 202001056551.

It is an arithmetic number, because the mean of its divisors is an integer number (202001056551).

Almost surely, 2^404002113101 is an apocalyptic number.

It is an amenable number.

404002113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

404002113101 is an equidigital number, since it uses as much as digits as its factorization.

404002113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 404002113101 its reverse (101311200404), we get a palindrome (505313313505).

The spelling of 404002113101 in words is "four hundred four billion, two million, one hundred thirteen thousand, one hundred one".