21011022120017 has 2 divisors, whose sum is σ = 21011022120018. Its totient is φ = 21011022120016.

The previous prime is 21011022119959. The next prime is 21011022120029. The reversal of 21011022120017 is 71002122011012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12716990755921 + 8294031364096 = 3566089^2 + 2879936^2 .

It is a cyclic number.

It is not a de Polignac number, because 21011022120017 - 2²² = 21011017925713 is a prime.

It is not a weakly prime, because it can be changed into another prime (21011022120037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505511060008 + 10505511060009.

It is an arithmetic number, because the mean of its divisors is an integer number (10505511060009).

Almost surely, 2^{21011022120017} is an apocalyptic number.

It is an amenable number.

21011022120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011022120017 is an equidigital number, since it uses as much as digits as its factorization.

21011022120017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 21011022120017 its reverse (71002122011012), we get a palindrome (92013144131029).

The spelling of 21011022120017 in words is "twenty-one trillion, eleven billion, twenty-two million, one hundred twenty thousand, seventeen".