85086134800101 has 24 divisors (see below), whose sum is σ = 123931415748504. Its totient is φ = 56249948551680.

The previous prime is 85086134800061. The next prime is 85086134800103. The reversal of 85086134800101 is 10100843168058.

85086134800101 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 61 + 3 + 480 + 0 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12174858584001 + 72911276216100 = 3489249^2 + 8538810^2 .

It is not a de Polignac number, because 85086134800101 - 2⁷ = 85086134799973 is a prime.

It is a super-2 number, since 2×85086134800101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85086134800103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35668270 + ... + 37978911.

It is an arithmetic number, because the mean of its divisors is an integer number (5163808989521).

Almost surely, 2^{85086134800101} is an apocalyptic number.

It is an amenable number.

85086134800101 is a deficient number, since it is larger than the sum of its proper divisors (38845280948403).

85086134800101 is a wasteful number, since it uses less digits than its factorization.

85086134800101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73648261 (or 73648258 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

Adding to 85086134800101 its reverse (10100843168058), we get a palindrome (95186977968159).

The spelling of 85086134800101 in words is "eighty-five trillion, eighty-six billion, one hundred thirty-four million, eight hundred thousand, one hundred one".