211120122222001 has 2 divisors, whose sum is σ = 211120122222002. Its totient is φ = 211120122222000.

The previous prime is 211120122221999. The next prime is 211120122222011. The reversal of 211120122222001 is 100222221021112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205370682177600 + 5749440044401 = 14330760^2 + 2397799^2 .

It is a cyclic number.

It is not a de Polignac number, because 211120122222001 - 2¹ = 211120122221999 is a prime.

Together with 211120122221999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 211120122222001.

It is not a weakly prime, because it can be changed into another prime (211120122222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560061111000 + 105560061111001.

It is an arithmetic number, because the mean of its divisors is an integer number (105560061111001).

Almost surely, 2^{211120122222001} is an apocalyptic number.

It is an amenable number.

211120122222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120122222001 is an equidigital number, since it uses as much as digits as its factorization.

211120122222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211120122222001 its reverse (100222221021112), we get a palindrome (311342343243113).

The spelling of 211120122222001 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, one".