100404030401 has 2 divisors, whose sum is σ = 100404030402. Its totient is φ = 100404030400.

The previous prime is 100404030341. The next prime is 100404030403. The reversal of 100404030401 is 104030404001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100403428225 + 602176 = 316865^2 + 776^2 .

It is a cyclic number.

It is not a de Polignac number, because 100404030401 - 2¹⁴ = 100404014017 is a prime.

Together with 100404030403, 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 100404030401.

It is not a weakly prime, because it can be changed into another prime (100404030403) 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, 50202015200 + 50202015201.

It is an arithmetic number, because the mean of its divisors is an integer number (50202015201).

Almost surely, 2^100404030401 is an apocalyptic number.

It is an amenable number.

100404030401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404030401 is an equidigital number, since it uses as much as digits as its factorization.

100404030401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100404030401 its reverse (104030404001), we get a palindrome (204434434402).

The spelling of 100404030401 in words is "one hundred billion, four hundred four million, thirty thousand, four hundred one".