102040181 has 2 divisors, whose sum is σ = 102040182. Its totient is φ = 102040180.

The previous prime is 102040157. The next prime is 102040187. The reversal of 102040181 is 181040201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99820081 + 2220100 = 9991^2 + 1490^2 .

It is an emirp because it is prime and its reverse (181040201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102040181 - 2¹⁴ = 102023797 is a prime.

It is a super-3 number, since 3×102040181³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102040187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51020090 + 51020091.

It is an arithmetic number, because the mean of its divisors is an integer number (51020091).

Almost surely, 2^102040181 is an apocalyptic number.

It is an amenable number.

102040181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102040181 is an equidigital number, since it uses as much as digits as its factorization.

102040181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 102040181 is about 10101.4939984143. The cubic root of 102040181 is about 467.2942173434.

Adding to 102040181 its reverse (181040201), we get a palindrome (283080382).

The spelling of 102040181 in words is "one hundred two million, forty thousand, one hundred eighty-one".