101726233213057 has 2 divisors, whose sum is σ = 101726233213058. Its totient is φ = 101726233213056.

The previous prime is 101726233213037. The next prime is 101726233213067. The reversal of 101726233213057 is 750312332627101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91719867548401 + 10006365664656 = 9577049^2 + 3163284^2 .

It is a cyclic number.

It is not a de Polignac number, because 101726233213057 - 2¹⁵ = 101726233180289 is a prime.

It is a super-2 number, since 2×101726233213057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101726233213037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50863116606528 + 50863116606529.

It is an arithmetic number, because the mean of its divisors is an integer number (50863116606529).

Almost surely, 2^{101726233213057} is an apocalyptic number.

It is an amenable number.

101726233213057 is a deficient number, since it is larger than the sum of its proper divisors (1).

101726233213057 is an equidigital number, since it uses as much as digits as its factorization.

101726233213057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 101726233213057 in words is "one hundred one trillion, seven hundred twenty-six billion, two hundred thirty-three million, two hundred thirteen thousand, fifty-seven".