101636725206101 has 2 divisors, whose sum is σ = 101636725206102. Its totient is φ = 101636725206100.

The previous prime is 101636725206059. The next prime is 101636725206157. The reversal of 101636725206101 is 101602527636101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101472400369201 + 164324836900 = 10073351^2 + 405370^2 .

It is an emirp because it is prime and its reverse (101602527636101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101636725206101 - 2³⁴ = 101619545336917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101636725206161) 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, 50818362603050 + 50818362603051.

It is an arithmetic number, because the mean of its divisors is an integer number (50818362603051).

Almost surely, 2^{101636725206101} is an apocalyptic number.

It is an amenable number.

101636725206101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101636725206101 is an equidigital number, since it uses as much as digits as its factorization.

101636725206101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 101636725206101 in words is "one hundred one trillion, six hundred thirty-six billion, seven hundred twenty-five million, two hundred six thousand, one hundred one".