101535747361 has 2 divisors, whose sum is σ = 101535747362. Its totient is φ = 101535747360.

The previous prime is 101535747337. The next prime is 101535747427. The reversal of 101535747361 is 163747535101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97933947136 + 3601800225 = 312944^2 + 60015^2 .

It is an emirp because it is prime and its reverse (163747535101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101535747361 - 2¹⁵ = 101535714593 is a prime.

It is not a weakly prime, because it can be changed into another prime (101535747461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50767873680 + 50767873681.

It is an arithmetic number, because the mean of its divisors is an integer number (50767873681).

Almost surely, 2^101535747361 is an apocalyptic number.

It is an amenable number.

101535747361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101535747361 is an equidigital number, since it uses as much as digits as its factorization.

101535747361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 101535747361 in words is "one hundred one billion, five hundred thirty-five million, seven hundred forty-seven thousand, three hundred sixty-one".