10000110181 has 2 divisors, whose sum is σ = 10000110182. Its totient is φ = 10000110180.

The previous prime is 10000110173. The next prime is 10000110271. The reversal of 10000110181 is 18101100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9572861281 + 427248900 = 97841^2 + 20670^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000110181 - 2³ = 10000110173 is a prime.

It is a super-3 number, since 3×10000110181³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000110881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055090 + 5000055091.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055091).

Almost surely, 2^10000110181 is an apocalyptic number.

It is an amenable number.

10000110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000110181 is an equidigital number, since it uses as much as digits as its factorization.

10000110181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10000110181 its reverse (18101100001), we get a palindrome (28101210182).

The spelling of 10000110181 in words is "ten billion, one hundred ten thousand, one hundred eighty-one".