102011413181 has 2 divisors, whose sum is σ = 102011413182. Its totient is φ = 102011413180.

The previous prime is 102011413129. The next prime is 102011413183. The reversal of 102011413181 is 181314110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93632940025 + 8378473156 = 305995^2 + 91534^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011413181 - 2¹⁰ = 102011412157 is a prime.

It is a super-2 number, since 2×102011413181² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 102011413183, it forms a pair of twin primes.

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 (102011413183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005706590 + 51005706591.

It is an arithmetic number, because the mean of its divisors is an integer number (51005706591).

Almost surely, 2^102011413181 is an apocalyptic number.

It is an amenable number.

102011413181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011413181 is an equidigital number, since it uses as much as digits as its factorization.

102011413181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 102011413181 its reverse (181314110201), we get a palindrome (283325523382).

The spelling of 102011413181 in words is "one hundred two billion, eleven million, four hundred thirteen thousand, one hundred eighty-one".