111021112000 has 224 divisors, whose sum is σ = 282915360000. Its totient is φ = 43130880000.

The previous prime is 111021111991. The next prime is 111021112001. The reversal of 111021112000 is 211120111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111021112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88887376 + ... + 88888624.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015000).

Almost surely, 2^111021112000 is an apocalyptic number.

111021112000 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 111021112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141457680000).

111021112000 is an abundant number, since it is smaller than the sum of its proper divisors (171894248000).

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

111021112000 is a wasteful number, since it uses less digits than its factorization.

111021112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111021112000 its reverse (211120111), we get a palindrome (111232232111).

It can be divided in two parts, 1110211 and 12000, that added together give a palindrome (1122211).

The spelling of 111021112000 in words is "one hundred eleven billion, twenty-one million, one hundred twelve thousand".