100052180801 has 2 divisors, whose sum is σ = 100052180802. Its totient is φ = 100052180800.

The previous prime is 100052180773. The next prime is 100052180819. The reversal of 100052180801 is 108081250001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89415352576 + 10636828225 = 299024^2 + 103135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100052180801 - 2³⁴ = 82872311617 is a prime.

It is not a weakly prime, because it can be changed into another prime (100052180201) 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, 50026090400 + 50026090401.

It is an arithmetic number, because the mean of its divisors is an integer number (50026090401).

Almost surely, 2^100052180801 is an apocalyptic number.

It is an amenable number.

100052180801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100052180801 is an equidigital number, since it uses as much as digits as its factorization.

100052180801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 26.

The spelling of 100052180801 in words is "one hundred billion, fifty-two million, one hundred eighty thousand, eight hundred one".