2112122211122 has 64 divisors (see below), whose sum is σ = 4025070662400. Its totient is φ = 807257767680.

The previous prime is 2112122211083. The next prime is 2112122211137. The reversal of 2112122211122 is 2211122212112.

It is a super-2 number, since 2×2112122211122² (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 junction number, because it is equal to n+sod(n) for n = 2112122211094 and 2112122211103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70414904 + ... + 70444892.

It is an arithmetic number, because the mean of its divisors is an integer number (62891729100).

Almost surely, 2^{2112122211122} is an apocalyptic number.

2112122211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2112122211122 is a deficient number, since it is larger than the sum of its proper divisors (1912948451278).

2112122211122 is a wasteful number, since it uses less digits than its factorization.

2112122211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38691.

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

Adding to 2112122211122 its reverse (2211122212112), we get a palindrome (4323244423234).

The spelling of 2112122211122 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".