10090890181 has 2 divisors, whose sum is σ = 10090890182. Its totient is φ = 10090890180.

The previous prime is 10090890179. The next prime is 10090890191. The reversal of 10090890181 is 18109809001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9685512225 + 405377956 = 98415^2 + 20134^2 .

It is an emirp because it is prime and its reverse (18109809001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18106806001 and 10060860181.

It is a cyclic number.

It is not a de Polignac number, because 10090890181 - 2¹ = 10090890179 is a prime.

It is a super-2 number, since 2×10090890181² (a number of 21 digits) contains 22 as substring.

Together with 10090890179, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10090890181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10090890191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045445090 + 5045445091.

It is an arithmetic number, because the mean of its divisors is an integer number (5045445091).

Almost surely, 2^10090890181 is an apocalyptic number.

It is an amenable number.

10090890181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10090890181 is an equidigital number, since it uses as much as digits as its factorization.

10090890181 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10090890181 in words is "ten billion, ninety million, eight hundred ninety thousand, one hundred eighty-one".