2011122001 has 16 divisors (see below), whose sum is σ = 2400286464. Its totient is φ = 1647543744.

The previous prime is 2011121929. The next prime is 2011122011. The reversal of 2011122001 is 1002211102.

It is not a de Polignac number, because 2011122001 - 2¹⁷ = 2010990929 is a prime.

It is a super-2 number, since 2×2011122001² = 8089223405812488002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011122011) 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 in 15 ways as a sum of consecutive naturals, for example, 229635 + ... + 238231.

It is an arithmetic number, because the mean of its divisors is an integer number (150017904).

Almost surely, 2^2011122001 is an apocalyptic number.

It is an amenable number.

2011122001 is a deficient number, since it is larger than the sum of its proper divisors (389164463).

2011122001 is a wasteful number, since it uses less digits than its factorization.

2011122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2011122001 is about 44845.5349059413. The cubic root of 2011122001 is about 1262.2522078927.

Adding to 2011122001 its reverse (1002211102), we get a palindrome (3013333103).

The spelling of 2011122001 in words is "two billion, eleven million, one hundred twenty-two thousand, one".