212211100011101 has 2 divisors, whose sum is σ = 212211100011102. Its totient is φ = 212211100011100.

The previous prime is 212211100011073. The next prime is 212211100011133. The reversal of 212211100011101 is 101110001112212.

212211100011101 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., 207489649059001 + 4721450952100 = 14404501^2 + 2172890^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211100011101 - 2¹⁴ = 212211099994717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212211100019101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105550005550 + 106105550005551.

It is an arithmetic number, because the mean of its divisors is an integer number (106105550005551).

Almost surely, 2^{212211100011101} is an apocalyptic number.

It is an amenable number.

212211100011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211100011101 is an equidigital number, since it uses as much as digits as its factorization.

212211100011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212211100011101 its reverse (101110001112212), we get a palindrome (313321101123313).

It can be divided in two parts, 21 and 2211100011101, that added together give a palindrome (2211100011122).

The spelling of 212211100011101 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred million, eleven thousand, one hundred one".