111100212202122 has 144 divisors (see below), whose sum is σ = 284377219308000. Its totient is φ = 31074487367040.

The previous prime is 111100212202099. The next prime is 111100212202157. The reversal of 111100212202122 is 221202212001111.

111100212202122 is a `hidden beast` number, since 111 + 100 + 21 + 220 + 212 + 2 = 666.

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 = 111100212202095 and 111100212202104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 438192004 + ... + 438445472.

It is an arithmetic number, because the mean of its divisors is an integer number (1974841800750).

Almost surely, 2^{111100212202122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100212202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142188609654000).

111100212202122 is an abundant number, since it is smaller than the sum of its proper divisors (173277007105878).

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

111100212202122 is a wasteful number, since it uses less digits than its factorization.

111100212202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266613 (or 266597 counting only the distinct ones).

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

Adding to 111100212202122 its reverse (221202212001111), we get a palindrome (332302424203233).

The spelling of 111100212202122 in words is "one hundred eleven trillion, one hundred billion, two hundred twelve million, two hundred two thousand, one hundred twenty-two".