2211100122001 has 2 divisors, whose sum is σ = 2211100122002. Its totient is φ = 2211100122000.

The previous prime is 2211100121957. The next prime is 2211100122017. The reversal of 2211100122001 is 1002210011122.

2211100122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2025725958400 + 185374163601 = 1423280^2 + 430551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211100122001 - 2³¹ = 2208952638353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211100122401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550061000 + 1105550061001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550061001).

Almost surely, 2^{2211100122001} is an apocalyptic number.

It is an amenable number.

2211100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211100122001 is an equidigital number, since it uses as much as digits as its factorization.

2211100122001 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 2211100122001 its reverse (1002210011122), we get a palindrome (3213310133123).

The spelling of 2211100122001 in words is "two trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, one".