100211211110033 has 2 divisors, whose sum is σ = 100211211110034. Its totient is φ = 100211211110032.

The previous prime is 100211211110011. The next prime is 100211211110041. The reversal of 100211211110033 is 330011112112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58322058324544 + 41889152785489 = 7636888^2 + 6472183^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211211110033 - 2⁶ = 100211211109969 is a prime.

It is a super-2 number, since 2×100211211110033² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100211211109993 and 100211211110020.

It is not a weakly prime, because it can be changed into another prime (100211211110333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105605555016 + 50105605555017.

It is an arithmetic number, because the mean of its divisors is an integer number (50105605555017).

Almost surely, 2^{100211211110033} is an apocalyptic number.

It is an amenable number.

100211211110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211211110033 is an equidigital number, since it uses as much as digits as its factorization.

100211211110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100211211110033 its reverse (330011112112001), we get a palindrome (430222323222034).

The spelling of 100211211110033 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, one hundred ten thousand, thirty-three".