111001011010120 has 256 divisors, whose sum is σ = 321449843589120. Its totient is φ = 33478965964800.

The previous prime is 111001011010093. The next prime is 111001011010207. The reversal of 111001011010120 is 21010110100111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111001011010097 and 111001011010106.

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, 1407049317 + ... + 1407128203.

It is an arithmetic number, because the mean of its divisors is an integer number (1255663451520).

Almost surely, 2^{111001011010120} is an apocalyptic number.

111001011010120 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 111001011010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160724921794560).

111001011010120 is an abundant number, since it is smaller than the sum of its proper divisors (210448832579000).

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

111001011010120 is a wasteful number, since it uses less digits than its factorization.

111001011010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93684 (or 93680 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111001011010120 its reverse (21010110100111), we get a palindrome (132011121110231).

The spelling of 111001011010120 in words is "one hundred eleven trillion, one billion, eleven million, ten thousand, one hundred twenty".