111022122100120 has 192 divisors, whose sum is σ = 317213932492800. Its totient is φ = 34580953854720.

The previous prime is 111022122100081. The next prime is 111022122100177. The reversal of 111022122100120 is 21001221220111.

It is a super-2 number, since 2×111022122100120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111022122100094 and 111022122100103.

It is a congruent number.

It is an unprimeable number.

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, 30237321 + ... + 33709639.

It is an arithmetic number, because the mean of its divisors is an integer number (1652155898400).

Almost surely, 2^{111022122100120} is an apocalyptic number.

111022122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022122100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158606966246400).

111022122100120 is an abundant number, since it is smaller than the sum of its proper divisors (206191810392680).

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

111022122100120 is a wasteful number, since it uses less digits than its factorization.

111022122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473838 (or 3473827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111022122100120 its reverse (21001221220111), we get a palindrome (132023343320231).

The spelling of 111022122100120 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".