111021001101120 has 336 divisors, whose sum is σ = 387477118506240. Its totient is φ = 26912265768960.

The previous prime is 111021001101037. The next prime is 111021001101133. The reversal of 111021001101120 is 21101100120111.

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 = 111021001101096 and 111021001101105.

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, 2301453961 + ... + 2301502199.

It is an arithmetic number, because the mean of its divisors is an integer number (1153205709840).

Almost surely, 2^{111021001101120} is an apocalyptic number.

111021001101120 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 111021001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193738559253120).

111021001101120 is an abundant number, since it is smaller than the sum of its proper divisors (276456117405120).

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

111021001101120 is a wasteful number, since it uses less digits than its factorization.

111021001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68094 (or 68073 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111021001101120 its reverse (21101100120111), we get a palindrome (132122101221231).

The spelling of 111021001101120 in words is "one hundred eleven trillion, twenty-one billion, one million, one hundred one thousand, one hundred twenty".