111122010121122 has 640 divisors, whose sum is σ = 341019015321600. Its totient is φ = 26111198361600.

The previous prime is 111122010121099. The next prime is 111122010121151. The reversal of 111122010121122 is 221121010221111.

It is a happy number.

111122010121122 is a `hidden beast` number, since 1 + 111 + 220 + 101 + 211 + 22 = 666.

It is a super-2 number, since 2×111122010121122² (a number of 29 digits) contains 22 as substring.

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 = 111122010121095 and 111122010121104.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3166844154 + ... + 3166879242.

It is an arithmetic number, because the mean of its divisors is an integer number (532842211440).

Almost surely, 2^{111122010121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111122010121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170509507660800).

111122010121122 is an abundant number, since it is smaller than the sum of its proper divisors (229897005200478).

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

111122010121122 is a wasteful number, since it uses less digits than its factorization.

111122010121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35524 (or 35515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111122010121122 its reverse (221121010221111), we get a palindrome (332243020342233).

The spelling of 111122010121122 in words is "one hundred eleven trillion, one hundred twenty-two billion, ten million, one hundred twenty-one thousand, one hundred twenty-two".