212011133101 has 2 divisors, whose sum is σ = 212011133102. Its totient is φ = 212011133100.

The previous prime is 212011133099. The next prime is 212011133137. The reversal of 212011133101 is 101331110212.

It is a happy number.

212011133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114213582025 + 97797551076 = 337955^2 + 312726^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011133101 - 2¹ = 212011133099 is a prime.

Together with 212011133099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011133401) 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, 106005566550 + 106005566551.

It is an arithmetic number, because the mean of its divisors is an integer number (106005566551).

Almost surely, 2^212011133101 is an apocalyptic number.

It is an amenable number.

212011133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011133101 is an equidigital number, since it uses as much as digits as its factorization.

212011133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 212011133101 its reverse (101331110212), we get a palindrome (313342243313).

The spelling of 212011133101 in words is "two hundred twelve billion, eleven million, one hundred thirty-three thousand, one hundred one".