12101111112112 has 160 divisors (see below), whose sum is σ = 28113629184000. Its totient is φ = 4980976830720.

The previous prime is 12101111112019. The next prime is 12101111112113. The reversal of 12101111112112 is 21121111110121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12101111112113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112160689 + ... + 112268527.

It is an arithmetic number, because the mean of its divisors is an integer number (175710182400).

Almost surely, 2^{12101111112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101111112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056814592000).

12101111112112 is an abundant number, since it is smaller than the sum of its proper divisors (16012518071888).

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

12101111112112 is a wasteful number, since it uses less digits than its factorization.

12101111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109359 (or 109353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 12101111112112 its reverse (21121111110121), we get a palindrome (33222222222233).

The spelling of 12101111112112 in words is "twelve trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".