212222202200081 has 2 divisors, whose sum is σ = 212222202200082. Its totient is φ = 212222202200080.

The previous prime is 212222202200003. The next prime is 212222202200119. The reversal of 212222202200081 is 180002202222212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109663642705681 + 102558559494400 = 10472041^2 + 10127120^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222202200081 - 2¹⁰ = 212222202199057 is a prime.

It is a super-2 number, since 2×212222202200081² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212222202200081.

It is not a weakly prime, because it can be changed into another prime (212222202200381) 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, 106111101100040 + 106111101100041.

It is an arithmetic number, because the mean of its divisors is an integer number (106111101100041).

Almost surely, 2^{212222202200081} is an apocalyptic number.

It is an amenable number.

212222202200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222202200081 is an equidigital number, since it uses as much as digits as its factorization.

212222202200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 212222202200081 its reverse (180002202222212), we get a palindrome (392224404422293).

The spelling of 212222202200081 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred two million, two hundred thousand, eighty-one".