2102242212017 has 2 divisors, whose sum is σ = 2102242212018. Its totient is φ = 2102242212016.

The previous prime is 2102242211999. The next prime is 2102242212079. The reversal of 2102242212017 is 7102122422012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1166851483681 + 935390728336 = 1080209^2 + 967156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102242212017 - 2³² = 2097947244721 is a prime.

It is a super-2 number, since 2×2102242212017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102242217017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051121106008 + 1051121106009.

It is an arithmetic number, because the mean of its divisors is an integer number (1051121106009).

Almost surely, 2^{2102242212017} is an apocalyptic number.

It is an amenable number.

2102242212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102242212017 is an equidigital number, since it uses as much as digits as its factorization.

2102242212017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 26.

Adding to 2102242212017 its reverse (7102122422012), we get a palindrome (9204364634029).

The spelling of 2102242212017 in words is "two trillion, one hundred two billion, two hundred forty-two million, two hundred twelve thousand, seventeen".