10111013120 has 216 divisors, whose sum is σ = 26859926016. Its totient is φ = 3643121664.

The previous prime is 10111013113. The next prime is 10111013123. The reversal of 10111013120 is 2131011101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10111013123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9301217 + ... + 9302303.

Almost surely, 2^10111013120 is an apocalyptic number.

10111013120 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 10111013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429963008).

10111013120 is an abundant number, since it is smaller than the sum of its proper divisors (16748912896).

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

10111013120 is a wasteful number, since it uses less digits than its factorization.

10111013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10111013120 its reverse (2131011101), we get a palindrome (12242024221).

The spelling of 10111013120 in words is "ten billion, one hundred eleven million, thirteen thousand, one hundred twenty".