102122102121181 has 2 divisors, whose sum is σ = 102122102121182. Its totient is φ = 102122102121180.

The previous prime is 102122102121161. The next prime is 102122102121203. The reversal of 102122102121181 is 181121201221201.

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., 80979661276900 + 21142440844281 = 8998870^2 + 4598091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102122102121181 is a prime.

It is a super-2 number, since 2×102122102121181² (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 (102122102121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061051060590 + 51061051060591.

It is an arithmetic number, because the mean of its divisors is an integer number (51061051060591).

Almost surely, 2^{102122102121181} is an apocalyptic number.

It is an amenable number.

102122102121181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122102121181 is an equidigital number, since it uses as much as digits as its factorization.

102122102121181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 102122102121181 its reverse (181121201221201), we get a palindrome (283243303342382).

The spelling of 102122102121181 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, one hundred eighty-one".