21221101210117 has 2 divisors, whose sum is σ = 21221101210118. Its totient is φ = 21221101210116.

The previous prime is 21221101210061. The next prime is 21221101210201. The reversal of 21221101210117 is 71101210112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11477907064836 + 9743194145281 = 3387906^2 + 3121409^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221101210117 - 2¹⁵ = 21221101177349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221101010117) 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, 10610550605058 + 10610550605059.

It is an arithmetic number, because the mean of its divisors is an integer number (10610550605059).

Almost surely, 2^{21221101210117} is an apocalyptic number.

It is an amenable number.

21221101210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221101210117 is an equidigital number, since it uses as much as digits as its factorization.

21221101210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 21221101210117 its reverse (71101210112212), we get a palindrome (92322311322329).

The spelling of 21221101210117 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred ten thousand, one hundred seventeen".