2201211100001 has 2 divisors, whose sum is σ = 2201211100002. Its totient is φ = 2201211100000.

The previous prime is 2201211099961. The next prime is 2201211100003. The reversal of 2201211100001 is 1000011121022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2037185290000 + 164025810001 = 1427300^2 + 405001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201211100001 - 2¹⁸ = 2201210837857 is a prime.

It is a super-2 number, since 2×2201211100001² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2201211100003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2201211100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100605550000 + 1100605550001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100605550001).

Almost surely, 2^{2201211100001} is an apocalyptic number.

It is an amenable number.

2201211100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201211100001 is an equidigital number, since it uses as much as digits as its factorization.

2201211100001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2201211100001 its reverse (1000011121022), we get a palindrome (3201222221023).

The spelling of 2201211100001 in words is "two trillion, two hundred one billion, two hundred eleven million, one hundred thousand, one".