2111222011122 has 96 divisors (see below), whose sum is σ = 5541906988800. Its totient is φ = 567046416384.

The previous prime is 2111222011117. The next prime is 2111222011127. The reversal of 2111222011122 is 2211102221112.

It is an interprime number because it is at equal distance from previous prime (2111222011117) and next prime (2111222011127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111222011095 and 2111222011104.

It is not an unprimeable number, because it can be changed into a prime (2111222011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209754 + ... + 2384522.

It is an arithmetic number, because the mean of its divisors is an integer number (57728197800).

Almost surely, 2^{2111222011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111222011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770953494400).

2111222011122 is an abundant number, since it is smaller than the sum of its proper divisors (3430684977678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111222011122 is a wasteful number, since it uses less digits than its factorization.

2111222011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175640 (or 1175637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2111222011122 its reverse (2211102221112), we get a palindrome (4322324232234).

The spelling of 2111222011122 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, eleven thousand, one hundred twenty-two".