10198090081 has 2 divisors, whose sum is σ = 10198090082. Its totient is φ = 10198090080.

The previous prime is 10198090051. The next prime is 10198090093. The reversal of 10198090081 is 18009089101.

It is a happy number.

10198090081 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., 10008201681 + 189888400 = 100041^2 + 13780^2 .

It is an emirp because it is prime and its reverse (18009089101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18006086101 and 10168060081.

It is a cyclic number.

It is not a de Polignac number, because 10198090081 - 2¹⁵ = 10198057313 is a prime.

It is a super-2 number, since 2×10198090081² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10198090081.

It is not a weakly prime, because it can be changed into another prime (10198090051) 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, 5099045040 + 5099045041.

It is an arithmetic number, because the mean of its divisors is an integer number (5099045041).

Almost surely, 2^10198090081 is an apocalyptic number.

It is an amenable number.

10198090081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10198090081 is an equidigital number, since it uses as much as digits as its factorization.

10198090081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 10198090081 in words is "ten billion, one hundred ninety-eight million, ninety thousand, eighty-one".