21212110100017 has 2 divisors, whose sum is σ = 21212110100018. Its totient is φ = 21212110100016.

The previous prime is 21212110099949. The next prime is 21212110100119. The reversal of 21212110100017 is 71000101121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12116240143921 + 9095869956096 = 3480839^2 + 3015936^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212110100017 - 2²⁷ = 21211975882289 is a prime.

It is a super-3 number, since 3×21212110100017³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21212110099967 and 21212110100003.

It is not a weakly prime, because it can be changed into another prime (21212110100617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606055050008 + 10606055050009.

It is an arithmetic number, because the mean of its divisors is an integer number (10606055050009).

Almost surely, 2^{21212110100017} is an apocalyptic number.

It is an amenable number.

21212110100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212110100017 is an equidigital number, since it uses as much as digits as its factorization.

21212110100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 21212110100017 its reverse (71000101121212), we get a palindrome (92212211221229).

The spelling of 21212110100017 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten million, one hundred thousand, seventeen".