404214100101 has 18 divisors (see below), whose sum is σ = 679189679142. Its totient is φ = 230979485520.

The previous prime is 404214100097. The next prime is 404214100111. The reversal of 404214100101 is 101001412404.

404214100101 is a `hidden beast` number, since 40 + 421 + 4 + 100 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397402899201 + 6811200900 = 630399^2 + 82530^2 .

It is not a de Polignac number, because 404214100101 - 2² = 404214100097 is a prime.

It is a super-2 number, since 2×404214100101² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404214100111) 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 in 17 ways as a sum of consecutive naturals, for example, 458292190 + ... + 458293071.

Almost surely, 2^404214100101 is an apocalyptic number.

It is an amenable number.

404214100101 is a deficient number, since it is larger than the sum of its proper divisors (274975579041).

404214100101 is a wasteful number, since it uses less digits than its factorization.

404214100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916585281 (or 916585271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 404214100101 its reverse (101001412404), we get a palindrome (505215512505).

The spelling of 404214100101 in words is "four hundred four billion, two hundred fourteen million, one hundred thousand, one hundred one".