111011211002120 has 256 divisors, whose sum is σ = 303038080450560. Its totient is φ = 36045014400000.

The previous prime is 111011211002077. The next prime is 111011211002141. The reversal of 111011211002120 is 21200112110111.

It is a junction number, because it is equal to n+sod(n) for n = 111011211002095 and 111011211002104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416746175 + ... + 417012465.

It is an arithmetic number, because the mean of its divisors is an integer number (1183742501760).

Almost surely, 2^{111011211002120} is an apocalyptic number.

111011211002120 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 111011211002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151519040225280).

111011211002120 is an abundant number, since it is smaller than the sum of its proper divisors (192026869448440).

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

111011211002120 is a wasteful number, since it uses less digits than its factorization.

111011211002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268708 (or 268704 counting only the distinct ones).

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

Adding to 111011211002120 its reverse (21200112110111), we get a palindrome (132211323112231).

The spelling of 111011211002120 in words is "one hundred eleven trillion, eleven billion, two hundred eleven million, two thousand, one hundred twenty".