111011122101120 has 128 divisors (see below), whose sum is σ = 353964329390880. Its totient is φ = 29593229721600.

The previous prime is 111011122101037. The next prime is 111011122101149. The reversal of 111011122101120 is 21101221110111.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 111011122101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667741 + ... + 15345180.

Almost surely, 2^{111011122101120} is an apocalyptic number.

111011122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111011122101120 is an abundant number, since it is smaller than the sum of its proper divisors (242953207289760).

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

111011122101120 is a wasteful number, since it uses less digits than its factorization.

111011122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015984 (or 19015972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111011122101120 its reverse (21101221110111), we get a palindrome (132112343211231).

The spelling of 111011122101120 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".