102112211281 has 2 divisors, whose sum is σ = 102112211282. Its totient is φ = 102112211280.

The previous prime is 102112211191. The next prime is 102112211287. The reversal of 102112211281 is 182112211201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102070026256 + 42185025 = 319484^2 + 6495^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112211281 - 2⁷ = 102112211153 is a prime.

It is a super-2 number, since 2×102112211281² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102112211287) 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, 51056105640 + 51056105641.

It is an arithmetic number, because the mean of its divisors is an integer number (51056105641).

Almost surely, 2^102112211281 is an apocalyptic number.

It is an amenable number.

102112211281 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112211281 is an equidigital number, since it uses as much as digits as its factorization.

102112211281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 102112211281 its reverse (182112211201), we get a palindrome (284224422482).

The spelling of 102112211281 in words is "one hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred eighty-one".