8585100121 has 12 divisors (see below), whose sum is σ = 9547549932. Its totient is φ = 7710520896.

The previous prime is 8585100101. The next prime is 8585100131. The reversal of 8585100121 is 1210015858.

It can be written as a sum of positive squares in 6 ways, for example, as 2014214400 + 6570885721 = 44880^2 + 81061^2 .

It is not a de Polignac number, because 8585100121 - 2¹³ = 8585091929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8585100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680226 + ... + 692731.

It is an arithmetic number, because the mean of its divisors is an integer number (795629161).

Almost surely, 2^8585100121 is an apocalyptic number.

It is an amenable number.

8585100121 is a deficient number, since it is larger than the sum of its proper divisors (962449811).

8585100121 is a wasteful number, since it uses less digits than its factorization.

8585100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373020 (or 1373007 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 31.

The square root of 8585100121 is about 92655.8153652538. The cubic root of 8585100121 is about 2047.6157186635.

Adding to 8585100121 its reverse (1210015858), we get a palindrome (9795115979).

The spelling of 8585100121 in words is "eight billion, five hundred eighty-five million, one hundred thousand, one hundred twenty-one".