221011020110113 has 2 divisors, whose sum is σ = 221011020110114. Its totient is φ = 221011020110112.

The previous prime is 221011020110057. The next prime is 221011020110189. The reversal of 221011020110113 is 311011020110122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172685276514529 + 48325743595584 = 13140977^2 + 6951672^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011020110113 - 2¹⁷ = 221011019979041 is a prime.

It is a super-2 number, since 2×221011020110113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221011020111113) 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, 110505510055056 + 110505510055057.

It is an arithmetic number, because the mean of its divisors is an integer number (110505510055057).

Almost surely, 2^{221011020110113} is an apocalyptic number.

It is an amenable number.

221011020110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011020110113 is an equidigital number, since it uses as much as digits as its factorization.

221011020110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 221011020110113 its reverse (311011020110122), we get a palindrome (532022040220235).

Subtracting 221011020110113 from its reverse (311011020110122), we obtain a palindrome (90000000000009).

The spelling of 221011020110113 in words is "two hundred twenty-one trillion, eleven billion, twenty million, one hundred ten thousand, one hundred thirteen".