100364402401 has 2 divisors, whose sum is σ = 100364402402. Its totient is φ = 100364402400.

The previous prime is 100364402381. The next prime is 100364402407. The reversal of 100364402401 is 104204463001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88061156001 + 12303246400 = 296751^2 + 110920^2 .

It is a cyclic number.

It is not a de Polignac number, because 100364402401 - 2⁹ = 100364401889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100364402407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50182201200 + 50182201201.

It is an arithmetic number, because the mean of its divisors is an integer number (50182201201).

Almost surely, 2^100364402401 is an apocalyptic number.

It is an amenable number.

100364402401 is a deficient number, since it is larger than the sum of its proper divisors (1).

100364402401 is an equidigital number, since it uses as much as digits as its factorization.

100364402401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100364402401 its reverse (104204463001), we get a palindrome (204568865402).

The spelling of 100364402401 in words is "one hundred billion, three hundred sixty-four million, four hundred two thousand, four hundred one".