221110110101113 has 2 divisors, whose sum is σ = 221110110101114. Its totient is φ = 221110110101112.

The previous prime is 221110110101053. The next prime is 221110110101137. The reversal of 221110110101113 is 311101011011122.

221110110101113 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., 166686484346944 + 54423625754169 = 12910712^2 + 7377237^2 .

It is a cyclic number.

It is not a de Polignac number, because 221110110101113 - 2¹⁷ = 221110109970041 is a prime.

It is not a weakly prime, because it can be changed into another prime (221110110105113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110555055050556 + 110555055050557.

It is an arithmetic number, because the mean of its divisors is an integer number (110555055050557).

Almost surely, 2^{221110110101113} is an apocalyptic number.

It is an amenable number.

221110110101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221110110101113 is an equidigital number, since it uses as much as digits as its factorization.

221110110101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 221110110101113 its reverse (311101011011122), we get a palindrome (532211121112235).

The spelling of 221110110101113 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred thirteen".