100585204061 has 2 divisors, whose sum is σ = 100585204062. Its totient is φ = 100585204060.

The previous prime is 100585204003. The next prime is 100585204063. The reversal of 100585204061 is 160402585001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97706881561 + 2878322500 = 312581^2 + 53650^2 .

It is an emirp because it is prime and its reverse (160402585001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100585204061 - 2²² = 100581009757 is a prime.

Together with 100585204063, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100585204063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292602030 + 50292602031.

It is an arithmetic number, because the mean of its divisors is an integer number (50292602031).

Almost surely, 2^100585204061 is an apocalyptic number.

It is an amenable number.

100585204061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585204061 is an equidigital number, since it uses as much as digits as its factorization.

100585204061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 100585204061 its reverse (160402585001), we get a palindrome (260987789062).

The spelling of 100585204061 in words is "one hundred billion, five hundred eighty-five million, two hundred four thousand, sixty-one".