100585204561 has 2 divisors, whose sum is σ = 100585204562. Its totient is φ = 100585204560.

The previous prime is 100585204513. The next prime is 100585204613. The reversal of 100585204561 is 165402585001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74128230225 + 26456974336 = 272265^2 + 162656^2 .

It is an emirp because it is prime and its reverse (165402585001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100585204561 - 2²³ = 100576815953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100585204561.

It is not a weakly prime, because it can be changed into another prime (100585204061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292602280 + 50292602281.

It is an arithmetic number, because the mean of its divisors is an integer number (50292602281).

Almost surely, 2^100585204561 is an apocalyptic number.

It is an amenable number.

100585204561 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585204561 is an equidigital number, since it uses as much as digits as its factorization.

100585204561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48000, while the sum is 37.

Adding to 100585204561 its reverse (165402585001), we get a palindrome (265987789562).

The spelling of 100585204561 in words is "one hundred billion, five hundred eighty-five million, two hundred four thousand, five hundred sixty-one".