111010010022120 has 256 divisors, whose sum is σ = 371546942976000. Its totient is φ = 26307785088000.

The previous prime is 111010010022049. The next prime is 111010010022133. The reversal of 111010010022120 is 21220010010111.

It is a super-2 number, since 2×111010010022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111010010022096 and 111010010022105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5262291 + ... + 15802269.

It is an arithmetic number, because the mean of its divisors is an integer number (1451355246000).

Almost surely, 2^{111010010022120} is an apocalyptic number.

111010010022120 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 111010010022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185773471488000).

111010010022120 is an abundant number, since it is smaller than the sum of its proper divisors (260536932953880).

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

111010010022120 is a wasteful number, since it uses less digits than its factorization.

111010010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10540184 (or 10540180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111010010022120 its reverse (21220010010111), we get a palindrome (132230020032231).

The spelling of 111010010022120 in words is "one hundred eleven trillion, ten billion, ten million, twenty-two thousand, one hundred twenty".