102201210100181 has 2 divisors, whose sum is σ = 102201210100182. Its totient is φ = 102201210100180.

The previous prime is 102201210100151. The next prime is 102201210100237. The reversal of 102201210100181 is 181001012102201.

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., 70470904143025 + 31730305957156 = 8394695^2 + 5632966^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201210100181 - 2³⁸ = 101926332193237 is a prime.

It is a super-2 number, since 2×102201210100181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201210100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100605050090 + 51100605050091.

It is an arithmetic number, because the mean of its divisors is an integer number (51100605050091).

Almost surely, 2^{102201210100181} is an apocalyptic number.

It is an amenable number.

102201210100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201210100181 is an equidigital number, since it uses as much as digits as its factorization.

102201210100181 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 20.

Adding to 102201210100181 its reverse (181001012102201), we get a palindrome (283202222202382).

The spelling of 102201210100181 in words is "one hundred two trillion, two hundred one billion, two hundred ten million, one hundred thousand, one hundred eighty-one".