101636725206157 has 2 divisors, whose sum is σ = 101636725206158. Its totient is φ = 101636725206156.

The previous prime is 101636725206101. The next prime is 101636725206161. The reversal of 101636725206157 is 751602527636101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81980457141636 + 19656268064521 = 9054306^2 + 4433539^2 .

It is a cyclic number.

It is not a de Polignac number, because 101636725206157 - 2²³ = 101636716817549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101636728206157) 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, 50818362603078 + 50818362603079.

It is an arithmetic number, because the mean of its divisors is an integer number (50818362603079).

Almost surely, 2^{101636725206157} is an apocalyptic number.

It is an amenable number.

101636725206157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101636725206157 is an equidigital number, since it uses as much as digits as its factorization.

101636725206157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 101636725206157 in words is "one hundred one trillion, six hundred thirty-six billion, seven hundred twenty-five million, two hundred six thousand, one hundred fifty-seven".