1001110112120 has 64 divisors (see below), whose sum is σ = 2295580176000. Its totient is φ = 392788784128.

The previous prime is 1001110112117. The next prime is 1001110112129. The reversal of 1001110112120 is 212110111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001110112129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8589596 + ... + 8705364.

It is an arithmetic number, because the mean of its divisors is an integer number (35868440250).

Almost surely, 2^{1001110112120} is an apocalyptic number.

1001110112120 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 1001110112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147790088000).

1001110112120 is an abundant number, since it is smaller than the sum of its proper divisors (1294470063880).

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

1001110112120 is a wasteful number, since it uses less digits than its factorization.

1001110112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119912 (or 119908 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001110112120 its reverse (212110111001), we get a palindrome (1213220223121).

The spelling of 1001110112120 in words is "one trillion, one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".