111100112201120 has 96 divisors (see below), whose sum is σ = 300238856281728. Its totient is φ = 38057365029888.

The previous prime is 111100112201101. The next prime is 111100112201131. The reversal of 111100112201120 is 21102211001111.

It is a super-3 number, since 3×111100112201120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111100112201095 and 111100112201104.

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, 43152062 + ... + 45654141.

It is an arithmetic number, because the mean of its divisors is an integer number (3127488086268).

Almost surely, 2^{111100112201120} is an apocalyptic number.

111100112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100112201120 is an abundant number, since it is smaller than the sum of its proper divisors (189138744080608).

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

111100112201120 is a wasteful number, since it uses less digits than its factorization.

111100112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88807342 (or 88807334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111100112201120 its reverse (21102211001111), we get a palindrome (132202323202231).

The spelling of 111100112201120 in words is "one hundred eleven trillion, one hundred billion, one hundred twelve million, two hundred one thousand, one hundred twenty".