111222211101000 has 256 divisors, whose sum is σ = 350964191934720. Its totient is φ = 29322224640000.

The previous prime is 111222211100999. The next prime is 111222211101007. The reversal of 111222211101000 is 101112222111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (111222211101007) 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 63 ways as a sum of consecutive naturals, for example, 273627915 + ... + 274034085.

It is an arithmetic number, because the mean of its divisors is an integer number (1370953874745).

Almost surely, 2^{111222211101000} is an apocalyptic number.

111222211101000 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 111222211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175482095967360).

111222211101000 is an abundant number, since it is smaller than the sum of its proper divisors (239741980833720).

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

111222211101000 is a wasteful number, since it uses less digits than its factorization.

111222211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407233 (or 407219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111222211101000 its reverse (101112222111), we get a palindrome (111323323323111).

The spelling of 111222211101000 in words is "one hundred eleven trillion, two hundred twenty-two billion, two hundred eleven million, one hundred one thousand".