110111111202120 has 256 divisors, whose sum is σ = 400034217369600. Its totient is φ = 23669805527040.

The previous prime is 110111111201999. The next prime is 110111111202121. The reversal of 110111111202120 is 21202111111011.

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 110111111202120.

It is not an unprimeable number, because it can be changed into a prime (110111111202121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15912325 + ... + 21758315.

It is an arithmetic number, because the mean of its divisors is an integer number (1562633661600).

Almost surely, 2^{110111111202120} is an apocalyptic number.

110111111202120 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 110111111202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200017108684800).

110111111202120 is an abundant number, since it is smaller than the sum of its proper divisors (289923106167480).

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

110111111202120 is a wasteful number, since it uses less digits than its factorization.

110111111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847348 (or 5847344 counting only the distinct ones).

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

Adding to 110111111202120 its reverse (21202111111011), we get a palindrome (131313222313131).

It can be divided in two parts, 110111111 and 202120, that added together give a triangular number (110313231 = T₁₄₈₅₃).

The spelling of 110111111202120 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, two hundred two thousand, one hundred twenty".