10002218101 has 2 divisors, whose sum is σ = 10002218102. Its totient is φ = 10002218100.

The previous prime is 10002218077. The next prime is 10002218119. The reversal of 10002218101 is 10181220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8500655601 + 1501562500 = 92199^2 + 38750^2 .

It is an emirp because it is prime and its reverse (10181220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002218101 - 2¹¹ = 10002216053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002218131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001109050 + 5001109051.

It is an arithmetic number, because the mean of its divisors is an integer number (5001109051).

Almost surely, 2^10002218101 is an apocalyptic number.

It is an amenable number.

10002218101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002218101 is an equidigital number, since it uses as much as digits as its factorization.

10002218101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10002218101 its reverse (10181220001), we get a palindrome (20183438102).

The spelling of 10002218101 in words is "ten billion, two million, two hundred eighteen thousand, one hundred one".