102213202181 has 2 divisors, whose sum is σ = 102213202182. Its totient is φ = 102213202180.

The previous prime is 102213202121. The next prime is 102213202193. The reversal of 102213202181 is 181202312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55975301281 + 46237900900 = 236591^2 + 215030^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102213202181 is a prime.

It is a super-2 number, since 2×102213202181² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain 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 (102213202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106601090 + 51106601091.

It is an arithmetic number, because the mean of its divisors is an integer number (51106601091).

Almost surely, 2^102213202181 is an apocalyptic number.

It is an amenable number.

102213202181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213202181 is an equidigital number, since it uses as much as digits as its factorization.

102213202181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 102213202181 its reverse (181202312201), we get a palindrome (283415514382).

The spelling of 102213202181 in words is "one hundred two billion, two hundred thirteen million, two hundred two thousand, one hundred eighty-one".