2211121122001 has 24 divisors (see below), whose sum is σ = 2581007836680. Its totient is φ = 1886253895680.

The previous prime is 2211121121987. The next prime is 2211121122031. The reversal of 2211121122001 is 1002211211122.

It can be written as a sum of positive squares in 4 ways, for example, as 463490001601 + 1747631120400 = 680801^2 + 1321980^2 .

It is not a de Polignac number, because 2211121122001 - 2⁵ = 2211121121969 is a prime.

It is a super-2 number, since 2×2211121122001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211121122031) 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 in 23 ways as a sum of consecutive naturals, for example, 901636 + ... + 2288053.

It is an arithmetic number, because the mean of its divisors is an integer number (107541993195).

Almost surely, 2^{2211121122001} is an apocalyptic number.

It is an amenable number.

2211121122001 is a deficient number, since it is larger than the sum of its proper divisors (369886714679).

2211121122001 is a wasteful number, since it uses less digits than its factorization.

2211121122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190065 (or 3190054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211121122001 its reverse (1002211211122), we get a palindrome (3213332333123).

It can be divided in two parts, 22111 and 21122001, that added together give a palindrome (21144112).

The spelling of 2211121122001 in words is "two trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one".