101623256136257 has 2 divisors, whose sum is σ = 101623256136258. Its totient is φ = 101623256136256.

The previous prime is 101623256136223. The next prime is 101623256136359. The reversal of 101623256136257 is 752631652326101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90091533622336 + 11531722513921 = 9491656^2 + 3395839^2 .

It is a cyclic number.

It is not a de Polignac number, because 101623256136257 - 2²⁴ = 101623239359041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101623256135257) 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, 50811628068128 + 50811628068129.

It is an arithmetic number, because the mean of its divisors is an integer number (50811628068129).

Almost surely, 2^{101623256136257} is an apocalyptic number.

It is an amenable number.

101623256136257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101623256136257 is an equidigital number, since it uses as much as digits as its factorization.

101623256136257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 101623256136257 in words is "one hundred one trillion, six hundred twenty-three billion, two hundred fifty-six million, one hundred thirty-six thousand, two hundred fifty-seven".