111121012201122 has 896 divisors, whose sum is σ = 328364335779840. Its totient is φ = 27347782049280.

The previous prime is 111121012201021. The next prime is 111121012201127. The reversal of 111121012201122 is 221102210121111.

It is a happy number.

111121012201122 is a `hidden beast` number, since 1 + 111 + 210 + 1 + 220 + 1 + 122 = 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 = 111121012201095 and 111121012201104.

It is not an unprimeable number, because it can be changed into a prime (111121012201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 69148108843 + ... + 69148110449.

Almost surely, 2^{111121012201122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111121012201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164182167889920).

111121012201122 is an abundant number, since it is smaller than the sum of its proper divisors (217243323578718).

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

111121012201122 is a wasteful number, since it uses less digits than its factorization.

111121012201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2043 counting only the distinct ones).

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

Adding to 111121012201122 its reverse (221102210121111), we get a palindrome (332223222322233).

The spelling of 111121012201122 in words is "one hundred eleven trillion, one hundred twenty-one billion, twelve million, two hundred one thousand, one hundred twenty-two".