10111120000000 has 352 divisors, whose sum is σ = 25427513030400. Its totient is φ = 4018560000000.

The previous prime is 10111119999941. The next prime is 10111120000001. The reversal of 10111120000000 is 2111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111120000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16879999701 + ... + 16880000299.

Almost surely, 2^{10111120000000} is an apocalyptic number.

10111120000000 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 10111120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713756515200).

10111120000000 is an abundant number, since it is smaller than the sum of its proper divisors (15316393030400).

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

10111120000000 is an frugal number, since it uses more digits than its factorization.

10111120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10111120000000 its reverse (2111101), we get a palindrome (10111122111101).

The spelling of 10111120000000 in words is "ten trillion, one hundred eleven billion, one hundred twenty million", and thus it is an aban number.