111010221122112 has 336 divisors, whose sum is σ = 353380714268400. Its totient is φ = 33100229836800.

The previous prime is 111010221122089. The next prime is 111010221122201. The reversal of 111010221122112 is 211221122010111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13112336241216 + 97897884880896 = 3621096^2 + 9894336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44530812 + ... + 46957572.

It is an arithmetic number, because the mean of its divisors is an integer number (1051728316275).

Almost surely, 2^{111010221122112} is an apocalyptic number.

111010221122112 is a gapful number since it is divisible by the number (12) 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 111010221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176690357134200).

111010221122112 is an abundant number, since it is smaller than the sum of its proper divisors (242370493146288).

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

111010221122112 is a wasteful number, since it uses less digits than its factorization.

111010221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426982 (or 2426969 counting only the distinct ones).

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

Adding to 111010221122112 its reverse (211221122010111), we get a palindrome (322231343132223).

The spelling of 111010221122112 in words is "one hundred eleven trillion, ten billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".