212001211101101 has 2 divisors, whose sum is σ = 212001211101102. Its totient is φ = 212001211101100.

The previous prime is 212001211101079. The next prime is 212001211101103. The reversal of 212001211101101 is 101101112100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185647464813001 + 26353746288100 = 13625251^2 + 5133590^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001211101101 - 2⁶ = 212001211101037 is a prime.

Together with 212001211101103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212001211101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000605550550 + 106000605550551.

It is an arithmetic number, because the mean of its divisors is an integer number (106000605550551).

Almost surely, 2^{212001211101101} is an apocalyptic number.

It is an amenable number.

212001211101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001211101101 is an equidigital number, since it uses as much as digits as its factorization.

212001211101101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212001211101101 its reverse (101101112100212), we get a palindrome (313102323201313).

The spelling of 212001211101101 in words is "two hundred twelve trillion, one billion, two hundred eleven million, one hundred one thousand, one hundred one".