102212220110081 has 2 divisors, whose sum is σ = 102212220110082. Its totient is φ = 102212220110080.

The previous prime is 102212220110051. The next prime is 102212220110123. The reversal of 102212220110081 is 180011022212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101067232368400 + 1144987741681 = 10053220^2 + 1070041^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212220110081 - 2⁶ = 102212220110017 is a prime.

It is a super-2 number, since 2×102212220110081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102212220110051) 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, 51106110055040 + 51106110055041.

It is an arithmetic number, because the mean of its divisors is an integer number (51106110055041).

Almost surely, 2^{102212220110081} is an apocalyptic number.

It is an amenable number.

102212220110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212220110081 is an equidigital number, since it uses as much as digits as its factorization.

102212220110081 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 23.

Adding to 102212220110081 its reverse (180011022212201), we get a palindrome (282223242322282).

The spelling of 102212220110081 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, one hundred ten thousand, eighty-one".