10109118881 has 2 divisors, whose sum is σ = 10109118882. Its totient is φ = 10109118880.

The previous prime is 10109118863. The next prime is 10109118883. The reversal of 10109118881 is 18881190101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9297780625 + 811338256 = 96425^2 + 28484^2 .

It is an emirp because it is prime and its reverse (18881190101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18881160101 and 10106118881.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10109118881 is a prime.

It is a super-2 number, since 2×10109118881² (a number of 21 digits) contains 22 as substring.

Together with 10109118883, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10109118883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5054559440 + 5054559441.

It is an arithmetic number, because the mean of its divisors is an integer number (5054559441).

Almost surely, 2^10109118881 is an apocalyptic number.

It is an amenable number.

10109118881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10109118881 is an equidigital number, since it uses as much as digits as its factorization.

10109118881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 38.

The spelling of 10109118881 in words is "ten billion, one hundred nine million, one hundred eighteen thousand, eight hundred eighty-one".