2112122222011 has 16 divisors (see below), whose sum is σ = 2318595321600. Its totient is φ = 1917564133408.

The previous prime is 2112122221969. The next prime is 2112122222029. The reversal of 2112122222011 is 1102222212112.

It is not a de Polignac number, because 2112122222011 - 2⁷ = 2112122221883 is a prime.

It is a super-2 number, since 2×2112122222011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112122222011.

It is not an unprimeable number, because it can be changed into a prime (2112122822011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26796241 + ... + 26874946.

It is an arithmetic number, because the mean of its divisors is an integer number (144912207600).

Almost surely, 2^{2112122222011} is an apocalyptic number.

2112122222011 is a deficient number, since it is larger than the sum of its proper divisors (206473099589).

2112122222011 is a wasteful number, since it uses less digits than its factorization.

2112122222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53671298.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2112122222011 its reverse (1102222212112), we get a palindrome (3214344434123).

The spelling of 2112122222011 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, eleven".