100102181 has 2 divisors, whose sum is σ = 100102182. Its totient is φ = 100102180.

The previous prime is 100102169. The next prime is 100102207. The reversal of 100102181 is 181201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99700225 + 401956 = 9985^2 + 634^2 .

It is an emirp because it is prime and its reverse (181201001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102181 is a prime.

It is a super-4 number, since 4×100102181⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051090 + 50051091.

It is an arithmetic number, because the mean of its divisors is an integer number (50051091).

Almost surely, 2^100102181 is an apocalyptic number.

It is an amenable number.

100102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102181 is an equidigital number, since it uses as much as digits as its factorization.

100102181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 100102181 is about 10005.1077455468. The cubic root of 100102181 is about 464.3169236073.

Adding to 100102181 its reverse (181201001), we get a palindrome (281303182).

The spelling of 100102181 in words is "one hundred million, one hundred two thousand, one hundred eighty-one".