221101101101 has 2 divisors, whose sum is σ = 221101101102. Its totient is φ = 221101101100.

The previous prime is 221101101077. The next prime is 221101101127. The reversal of 221101101101 is 101101101122.

221101101101 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., 215086323076 + 6014778025 = 463774^2 + 77555^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101101101 - 2⁶ = 221101101037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221101101161) 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, 110550550550 + 110550550551.

It is an arithmetic number, because the mean of its divisors is an integer number (110550550551).

Almost surely, 2^221101101101 is an apocalyptic number.

It is an amenable number.

221101101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101101101 is an equidigital number, since it uses as much as digits as its factorization.

221101101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 221101101101 its reverse (101101101122), we get a palindrome (322202202223).

It can be divided in two parts, 22110 and 1101101, that added together give a palindrome (1123211).

The spelling of 221101101101 in words is "two hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred one".