100886259101 has 2 divisors, whose sum is σ = 100886259102. Its totient is φ = 100886259100.

The previous prime is 100886259031. The next prime is 100886259143. The reversal of 100886259101 is 101952688001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66487138201 + 34399120900 = 257851^2 + 185470^2 .

It is a cyclic number.

It is not a de Polignac number, because 100886259101 - 2³⁴ = 83706389917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100886259151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50443129550 + 50443129551.

It is an arithmetic number, because the mean of its divisors is an integer number (50443129551).

Almost surely, 2^100886259101 is an apocalyptic number.

It is an amenable number.

100886259101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100886259101 is an equidigital number, since it uses as much as digits as its factorization.

100886259101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 41.

The spelling of 100886259101 in words is "one hundred billion, eight hundred eighty-six million, two hundred fifty-nine thousand, one hundred one".