220111002211201 has 2 divisors, whose sum is σ = 220111002211202. Its totient is φ = 220111002211200.

The previous prime is 220111002211187. The next prime is 220111002211237. The reversal of 220111002211201 is 102112200111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185937905169025 + 34173097042176 = 13635905^2 + 5845776^2 .

It is a cyclic number.

It is not a de Polignac number, because 220111002211201 - 2⁷ = 220111002211073 is a prime.

It is a super-2 number, since 2×220111002211201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220111002211241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110055501105600 + 110055501105601.

It is an arithmetic number, because the mean of its divisors is an integer number (110055501105601).

Almost surely, 2^{220111002211201} is an apocalyptic number.

It is an amenable number.

220111002211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

220111002211201 is an equidigital number, since it uses as much as digits as its factorization.

220111002211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220111002211201 its reverse (102112200111022), we get a palindrome (322223202322223).

The spelling of 220111002211201 in words is "two hundred twenty trillion, one hundred eleven billion, two million, two hundred eleven thousand, two hundred one".