12101100221112 has 128 divisors (see below), whose sum is σ = 35107540784640. Its totient is φ = 3404210135040.

The previous prime is 12101100221081. The next prime is 12101100221123. The reversal of 12101100221112 is 21112200110121.

It is a happy number.

It is a super-2 number, since 2×12101100221112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101100221091 and 12101100221100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23165428 + ... + 23682044.

It is an arithmetic number, because the mean of its divisors is an integer number (274277662380).

Almost surely, 2^{12101100221112} is an apocalyptic number.

12101100221112 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 12101100221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553770392320).

12101100221112 is an abundant number, since it is smaller than the sum of its proper divisors (23006440563528).

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

12101100221112 is a wasteful number, since it uses less digits than its factorization.

12101100221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518781 (or 518777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12101100221112 its reverse (21112200110121), we get a palindrome (33213300331233).

The spelling of 12101100221112 in words is "twelve trillion, one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred twelve".