220321131101 has 2 divisors, whose sum is σ = 220321131102. Its totient is φ = 220321131100.

The previous prime is 220321131077. The next prime is 220321131109. The reversal of 220321131101 is 101131123022.

220321131101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170464939876 + 49856191225 = 412874^2 + 223285^2 .

It is a cyclic number.

It is not a de Polignac number, because 220321131101 - 2¹⁰ = 220321130077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220321131101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220321131109) 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, 110160565550 + 110160565551.

It is an arithmetic number, because the mean of its divisors is an integer number (110160565551).

Almost surely, 2^220321131101 is an apocalyptic number.

It is an amenable number.

220321131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220321131101 is an equidigital number, since it uses as much as digits as its factorization.

220321131101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 220321131101 its reverse (101131123022), we get a palindrome (321452254123).

The spelling of 220321131101 in words is "two hundred twenty billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred one".