211122202221101 has 2 divisors, whose sum is σ = 211122202221102. Its totient is φ = 211122202221100.

The previous prime is 211122202221067. The next prime is 211122202221187. The reversal of 211122202221101 is 101122202221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203842723022500 + 7279479198601 = 14277350^2 + 2698051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122202221101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122202220101) 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, 105561101110550 + 105561101110551.

It is an arithmetic number, because the mean of its divisors is an integer number (105561101110551).

Almost surely, 2^{211122202221101} is an apocalyptic number.

It is an amenable number.

211122202221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122202221101 is an equidigital number, since it uses as much as digits as its factorization.

211122202221101 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 20.

Adding to 211122202221101 its reverse (101122202221112), we get a palindrome (312244404442213).

The spelling of 211122202221101 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, one hundred one".