100211100122201 has 2 divisors, whose sum is σ = 100211100122202. Its totient is φ = 100211100122200.

The previous prime is 100211100122179. The next prime is 100211100122219. The reversal of 100211100122201 is 102221001112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100208208264025 + 2891858176 = 10010405^2 + 53776^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211100122201 - 2⁶ = 100211100122137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100211100122261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105550061100 + 50105550061101.

It is an arithmetic number, because the mean of its divisors is an integer number (50105550061101).

Almost surely, 2^{100211100122201} is an apocalyptic number.

It is an amenable number.

100211100122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211100122201 is an equidigital number, since it uses as much as digits as its factorization.

100211100122201 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 14.

Adding to 100211100122201 its reverse (102221001112001), we get a palindrome (202432101234202).

The spelling of 100211100122201 in words is "one hundred trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, two hundred one".