100288605555601 has 2 divisors, whose sum is σ = 100288605555602. Its totient is φ = 100288605555600.

The previous prime is 100288605555583. The next prime is 100288605555629. The reversal of 100288605555601 is 106555506882001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100287005635600 + 1599920001 = 10014340^2 + 39999^2 .

It is a cyclic number.

It is not a de Polignac number, because 100288605555601 - 2¹⁷ = 100288605424529 is a prime.

It is not a weakly prime, because it can be changed into another prime (100288605555631) 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, 50144302777800 + 50144302777801.

It is an arithmetic number, because the mean of its divisors is an integer number (50144302777801).

Almost surely, 2^{100288605555601} is an apocalyptic number.

It is an amenable number.

100288605555601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100288605555601 is an equidigital number, since it uses as much as digits as its factorization.

100288605555601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880000, while the sum is 52.

The spelling of 100288605555601 in words is "one hundred trillion, two hundred eighty-eight billion, six hundred five million, five hundred fifty-five thousand, six hundred one".