212011010122081 has 2 divisors, whose sum is σ = 212011010122082. Its totient is φ = 212011010122080.

The previous prime is 212011010122033. The next prime is 212011010122097. The reversal of 212011010122081 is 180221010110212.

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., 212001171267600 + 9838854481 = 14560260^2 + 99191^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011010122081 - 2⁹ = 212011010121569 is a prime.

It is a super-2 number, since 2×212011010122081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212011010120081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005505061040 + 106005505061041.

It is an arithmetic number, because the mean of its divisors is an integer number (106005505061041).

Almost surely, 2^{212011010122081} is an apocalyptic number.

It is an amenable number.

212011010122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011010122081 is an equidigital number, since it uses as much as digits as its factorization.

212011010122081 is an evil number, because the sum of its binary digits is even.

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

Adding to 212011010122081 its reverse (180221010110212), we get a palindrome (392232020232293).

The spelling of 212011010122081 in words is "two hundred twelve trillion, eleven billion, ten million, one hundred twenty-two thousand, eighty-one".