100456255561 has 2 divisors, whose sum is σ = 100456255562. Its totient is φ = 100456255560.

The previous prime is 100456255547. The next prime is 100456255589. The reversal of 100456255561 is 165552654001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98380086336 + 2076169225 = 313656^2 + 45565^2 .

It is a cyclic number.

It is not a de Polignac number, because 100456255561 - 2¹³ = 100456247369 is a prime.

It is not a weakly prime, because it can be changed into another prime (100456255531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50228127780 + 50228127781.

It is an arithmetic number, because the mean of its divisors is an integer number (50228127781).

Almost surely, 2^100456255561 is an apocalyptic number.

It is an amenable number.

100456255561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100456255561 is an equidigital number, since it uses as much as digits as its factorization.

100456255561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 100456255561 in words is "one hundred billion, four hundred fifty-six million, two hundred fifty-five thousand, five hundred sixty-one".