11112110102112 has 96 divisors (see below), whose sum is σ = 29357685826560. Its totient is φ = 3680178608640.

The previous prime is 11112110102083. The next prime is 11112110102141. The reversal of 11112110102112 is 21120101121111.

It is an interprime number because it is at equal distance from previous prime (11112110102083) and next prime (11112110102141).

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

It is a junction number, because it is equal to n+sod(n) for n = 11112110102091 and 11112110102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10386787 + ... + 11406557.

It is an arithmetic number, because the mean of its divisors is an integer number (305809227360).

Almost surely, 2^{11112110102112} is an apocalyptic number.

11112110102112 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 11112110102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678842913280).

11112110102112 is an abundant number, since it is smaller than the sum of its proper divisors (18245575724448).

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

11112110102112 is a wasteful number, since it uses less digits than its factorization.

11112110102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020516 (or 1020508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11112110102112 its reverse (21120101121111), we get a palindrome (32232211223223).

The spelling of 11112110102112 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, one hundred two thousand, one hundred twelve".