221000222210113 has 2 divisors, whose sum is σ = 221000222210114. Its totient is φ = 221000222210112.

The previous prime is 221000222210107. The next prime is 221000222210231. The reversal of 221000222210113 is 311012222000122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207593259161409 + 13406963048704 = 14408097^2 + 3661552^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000222210113 - 2⁴⁵ = 185815850121281 is a prime.

It is a super-4 number, since 4×221000222210113⁴ (a number of 58 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (221000222210513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500111105056 + 110500111105057.

It is an arithmetic number, because the mean of its divisors is an integer number (110500111105057).

Almost surely, 2^{221000222210113} is an apocalyptic number.

It is an amenable number.

221000222210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000222210113 is an equidigital number, since it uses as much as digits as its factorization.

221000222210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221000222210113 its reverse (311012222000122), we get a palindrome (532012444210235).

The spelling of 221000222210113 in words is "two hundred twenty-one trillion, two hundred twenty-two million, two hundred ten thousand, one hundred thirteen".