12101102112 has 288 divisors, whose sum is σ = 37702107072. Its totient is φ = 3358720000.

The previous prime is 12101102089. The next prime is 12101102119. The reversal of 12101102112 is 21120110121.

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

It is not an unprimeable number, because it can be changed into a prime (12101102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30177112 + ... + 30177512.

It is an arithmetic number, because the mean of its divisors is an integer number (130910094).

Almost surely, 2^12101102112 is an apocalyptic number.

12101102112 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 12101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851053536).

12101102112 is an abundant number, since it is smaller than the sum of its proper divisors (25601004960).

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

12101102112 is a wasteful number, since it uses less digits than its factorization.

12101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101102112 its reverse (21120110121), we get a palindrome (33221212233).

The spelling of 12101102112 in words is "twelve billion, one hundred one million, one hundred two thousand, one hundred twelve".