10108080101 has 12 divisors (see below), whose sum is σ = 11874804300. Its totient is φ = 8578281600.

The previous prime is 10108080097. The next prime is 10108080121.

10108080101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6927232900 + 3180847201 = 83230^2 + 56399^2 .

It is not a de Polignac number, because 10108080101 - 2² = 10108080097 is a prime.

10108080101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108080121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1016276 + ... + 1026173.

It is an arithmetic number, because the mean of its divisors is an integer number (989567025).

Almost surely, 2^10108080101 is an apocalyptic number.

It is an amenable number.

10108080101 is a deficient number, since it is larger than the sum of its proper divisors (1766724199).

10108080101 is a wasteful number, since it uses less digits than its factorization.

10108080101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042564 (or 2042557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 101080 and 80101, that added together give a palindrome (181181).

The spelling of 10108080101 in words is "ten billion, one hundred eight million, eighty thousand, one hundred one".