101093561 has 2 divisors, whose sum is σ = 101093562. Its totient is φ = 101093560.

The previous prime is 101093549. The next prime is 101093567. The reversal of 101093561 is 165390101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85451536 + 15642025 = 9244^2 + 3955^2 .

It is an emirp because it is prime and its reverse (165390101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101093561 - 2¹⁸ = 100831417 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101093561.

It is not a weakly prime, because it can be changed into another prime (101093567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50546780 + 50546781.

It is an arithmetic number, because the mean of its divisors is an integer number (50546781).

Almost surely, 2^101093561 is an apocalyptic number.

It is an amenable number.

101093561 is a deficient number, since it is larger than the sum of its proper divisors (1).

101093561 is an equidigital number, since it uses as much as digits as its factorization.

101093561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 101093561 is about 10054.5293773503. The cubic root of 101093561 is about 465.8447065543.

The spelling of 101093561 in words is "one hundred one million, ninety-three thousand, five hundred sixty-one".