10111011110112 has 96 divisors (see below), whose sum is σ = 28964784764160. Its totient is φ = 3062828933120.

The previous prime is 10111011110107. The next prime is 10111011110119. The reversal of 10111011110112 is 21101111011101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111011110119) 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, 1168189 + ... + 4646147.

It is an arithmetic number, because the mean of its divisors is an integer number (301716507960).

Almost surely, 2^{10111011110112} is an apocalyptic number.

10111011110112 is a gapful number since it is divisible by the number (12) 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 10111011110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482392382080).

10111011110112 is an abundant number, since it is smaller than the sum of its proper divisors (18853773654048).

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

10111011110112 is a wasteful number, since it uses less digits than its factorization.

10111011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480736 (or 3480728 counting only the distinct ones).

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

Adding to 10111011110112 its reverse (21101111011101), we get a palindrome (31212122121213).

The spelling of 10111011110112 in words is "ten trillion, one hundred eleven billion, eleven million, one hundred ten thousand, one hundred twelve".