106212116081 has 2 divisors, whose sum is σ = 106212116082. Its totient is φ = 106212116080.

The previous prime is 106212116057. The next prime is 106212116119. The reversal of 106212116081 is 180611212601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105830499856 + 381616225 = 325316^2 + 19535^2 .

It is an emirp because it is prime and its reverse (180611212601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106212116081 is a prime.

It is a super-2 number, since 2×106212116081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106212116041) 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, 53106058040 + 53106058041.

It is an arithmetic number, because the mean of its divisors is an integer number (53106058041).

Almost surely, 2^106212116081 is an apocalyptic number.

It is an amenable number.

106212116081 is a deficient number, since it is larger than the sum of its proper divisors (1).

106212116081 is an equidigital number, since it uses as much as digits as its factorization.

106212116081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

Adding to 106212116081 its reverse (180611212601), we get a palindrome (286823328682).

The spelling of 106212116081 in words is "one hundred six billion, two hundred twelve million, one hundred sixteen thousand, eighty-one".