100001022102211 has 2 divisors, whose sum is σ = 100001022102212. Its totient is φ = 100001022102210.

The previous prime is 100001022102199. The next prime is 100001022102253. The reversal of 100001022102211 is 112201220100001.

It is a weak prime.

It is an emirp because it is prime and its reverse (112201220100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100001022102211 - 2¹⁷ = 100001021971139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001022102191 and 100001022102200.

It is not a weakly prime, because it can be changed into another prime (100001022102011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000511051105 + 50000511051106.

It is an arithmetic number, because the mean of its divisors is an integer number (50000511051106).

Almost surely, 2^{100001022102211} is an apocalyptic number.

100001022102211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001022102211 is an equidigital number, since it uses as much as digits as its factorization.

100001022102211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001022102211 its reverse (112201220100001), we get a palindrome (212202242202212).

The spelling of 100001022102211 in words is "one hundred trillion, one billion, twenty-two million, one hundred two thousand, two hundred eleven".