2211122211122 has 24 divisors (see below), whose sum is σ = 3645690376188. Its totient is φ = 1005033553920.

The previous prime is 2211122211091. The next prime is 2211122211169.

2211122211122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1931652445921 + 279469765201 = 1389839^2 + 528649^2 .

It is a super-2 number, since 2×2211122211122² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2211122211094 and 2211122211103.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17034338 + ... + 17163650.

Almost surely, 2^{2211122211122} is an apocalyptic number.

2211122211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2211122211122 is a deficient number, since it is larger than the sum of its proper divisors (1434568165066).

2211122211122 is a wasteful number, since it uses less digits than its factorization.

2211122211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199994 (or 199983 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The spelling of 2211122211122 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".