2211100111001 has 2 divisors, whose sum is σ = 2211100111002. Its totient is φ = 2211100111000.

The previous prime is 2211100110979. The next prime is 2211100111009. The reversal of 2211100111001 is 1001110011122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1357980024976 + 853120086025 = 1165324^2 + 923645^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211100111001 - 2²² = 2211095916697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211100111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550055500 + 1105550055501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550055501).

Almost surely, 2^{2211100111001} is an apocalyptic number.

It is an amenable number.

2211100111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211100111001 is an equidigital number, since it uses as much as digits as its factorization.

2211100111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2211100111001 its reverse (1001110011122), we get a palindrome (3212210122123).

The spelling of 2211100111001 in words is "two trillion, two hundred eleven billion, one hundred million, one hundred eleven thousand, one".