111211101101120 has 28 divisors (see below), whose sum is σ = 264821434497804. Its totient is φ = 44484440440320.

The previous prime is 111211101101081. The next prime is 111211101101147. The reversal of 111211101101120 is 21101101112111.

It can be written as a sum of positive squares in 2 ways, for example, as 25694031069184 + 85517070031936 = 5068928^2 + 9247544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111211101101095 and 111211101101104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 173767345151 + ... + 173767345790.

Almost surely, 2^{111211101101120} is an apocalyptic number.

111211101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111211101101120 is an abundant number, since it is smaller than the sum of its proper divisors (153610333396684).

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

111211101101120 is an equidigital number, since it uses as much as digits as its factorization.

111211101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347534690958 (or 347534690948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111211101101120 its reverse (21101101112111), we get a palindrome (132312202213231).

The spelling of 111211101101120 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".