10111120111110 has 192 divisors, whose sum is σ = 25385916782592. Its totient is φ = 2575742400000.

The previous prime is 10111120111093. The next prime is 10111120111111. The reversal of 10111120111110 is 1111102111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111120111111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021217160 + ... + 1021227060.

It is an arithmetic number, because the mean of its divisors is an integer number (132218316576).

Almost surely, 2^{10111120111110} is an apocalyptic number.

10111120111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111120111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692958391296).

10111120111110 is an abundant number, since it is smaller than the sum of its proper divisors (15274796671482).

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

10111120111110 is a wasteful number, since it uses less digits than its factorization.

10111120111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111120111110 its reverse (1111102111101), we get a palindrome (11222222222211).

Subtracting from 10111120111110 its reverse (1111102111101), we obtain a square (9000018000009 = 3000003²).

The spelling of 10111120111110 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, one hundred eleven thousand, one hundred ten".