10106118881 has 2 divisors, whose sum is σ = 10106118882. Its totient is φ = 10106118880.

The previous prime is 10106118871. The next prime is 10106118889. The reversal of 10106118881 is 18881160101.

10106118881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5256250000 + 4849868881 = 72500^2 + 69641^2 .

It is an emirp because it is prime and its reverse (18881160101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18881190101 and 10109118881.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106118881 is a prime.

It is a super-2 number, since 2×10106118881² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10106118889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053059440 + 5053059441.

It is an arithmetic number, because the mean of its divisors is an integer number (5053059441).

Almost surely, 2^10106118881 is an apocalyptic number.

It is an amenable number.

10106118881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106118881 is an equidigital number, since it uses as much as digits as its factorization.

10106118881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 35.

Adding to 10106118881 its reverse (18881160101), we get a palindrome (28987278982).

The spelling of 10106118881 in words is "ten billion, one hundred six million, one hundred eighteen thousand, eight hundred eighty-one".