111220211002122 has 96 divisors (see below), whose sum is σ = 262073546768592. Its totient is φ = 33946294966272.

The previous prime is 111220211002057. The next prime is 111220211002123. The reversal of 111220211002122 is 221200112022111.

111220211002122 is a `hidden beast` number, since 111 + 220 + 21 + 100 + 212 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110287362164841 + 932848837281 = 10501779^2 + 965841^2 .

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 = 111220211002095 and 111220211002104.

It is not an unprimeable number, because it can be changed into a prime (111220211002123) 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, 118151788 + ... + 119089400.

Almost surely, 2^{111220211002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111220211002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131036773384296).

111220211002122 is an abundant number, since it is smaller than the sum of its proper divisors (150853335766470).

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

111220211002122 is a wasteful number, since it uses less digits than its factorization.

111220211002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948152 (or 948149 counting only the distinct ones).

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

Adding to 111220211002122 its reverse (221200112022111), we get a palindrome (332420323024233).

The spelling of 111220211002122 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred eleven million, two thousand, one hundred twenty-two".