10198008881 has 2 divisors, whose sum is σ = 10198008882. Its totient is φ = 10198008880.

The previous prime is 10198008869. The next prime is 10198008883. The reversal of 10198008881 is 18880089101.

10198008881 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., 5320243600 + 4877765281 = 72940^2 + 69841^2 .

It is an emirp because it is prime and its reverse (18880089101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18880086101 and 10168008881.

It is a cyclic number.

It is not a de Polignac number, because 10198008881 - 2²² = 10193814577 is a prime.

It is a super-2 number, since 2×10198008881² (a number of 21 digits) contains 22 as substring.

Together with 10198008883, 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 (10198008883) 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, 5099004440 + 5099004441.

It is an arithmetic number, because the mean of its divisors is an integer number (5099004441).

Almost surely, 2^10198008881 is an apocalyptic number.

It is an amenable number.

10198008881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10198008881 is an equidigital number, since it uses as much as digits as its factorization.

10198008881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 44.

The spelling of 10198008881 in words is "ten billion, one hundred ninety-eight million, eight thousand, eight hundred eighty-one".