100002112211 has 2 divisors, whose sum is σ = 100002112212. Its totient is φ = 100002112210.

The previous prime is 100002112207. The next prime is 100002112219. The reversal of 100002112211 is 112211200001.

It is a weak prime.

It is an emirp because it is prime and its reverse (112211200001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100002112211 - 2² = 100002112207 is a prime.

It is a super-3 number, since 3×100002112211³ (a number of 34 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 = 100002112192 and 100002112201.

It is not a weakly prime, because it can be changed into another prime (100002112219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001056105 + 50001056106.

It is an arithmetic number, because the mean of its divisors is an integer number (50001056106).

Almost surely, 2^100002112211 is an apocalyptic number.

100002112211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002112211 is an equidigital number, since it uses as much as digits as its factorization.

100002112211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100002112211 its reverse (112211200001), we get a palindrome (212213312212).

The spelling of 100002112211 in words is "one hundred billion, two million, one hundred twelve thousand, two hundred eleven".