100357555256401 has 8 divisors (see below), whose sum is σ = 104984656799400. Its totient is φ = 95808220126080.

The previous prime is 100357555256369. The next prime is 100357555256407. The reversal of 100357555256401 is 104652555753001.

It can be written as a sum of positive squares in 4 ways, for example, as 2044857100225 + 98312698156176 = 1429985^2 + 9915276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100357555256401 - 2⁵ = 100357555256369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100357555256407) 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 in 7 ways as a sum of consecutive naturals, for example, 19441600530 + ... + 19441605691.

It is an arithmetic number, because the mean of its divisors is an integer number (13123082099925).

Almost surely, 2^{100357555256401} is an apocalyptic number.

It is an amenable number.

100357555256401 is a deficient number, since it is larger than the sum of its proper divisors (4627101542999).

100357555256401 is an equidigital number, since it uses as much as digits as its factorization.

100357555256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38883206339.

The product of its (nonzero) digits is 3150000, while the sum is 49.

The spelling of 100357555256401 in words is "one hundred trillion, three hundred fifty-seven billion, five hundred fifty-five million, two hundred fifty-six thousand, four hundred one".