12201101102112 has 192 divisors, whose sum is σ = 36799281154944. Its totient is φ = 3506377605120.

The previous prime is 12201101102041. The next prime is 12201101102173. The reversal of 12201101102112 is 21120110110221.

It is a happy number.

It is a super-2 number, since 2×12201101102112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201101102091 and 12201101102100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584298 + ... + 4974294.

It is an arithmetic number, because the mean of its divisors is an integer number (191662922682).

Almost surely, 2^{12201101102112} is an apocalyptic number.

12201101102112 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 12201101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399640577472).

12201101102112 is an abundant number, since it is smaller than the sum of its proper divisors (24598180052832).

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

12201101102112 is a wasteful number, since it uses less digits than its factorization.

12201101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390171 (or 4390163 counting only the distinct ones).

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

Adding to 12201101102112 its reverse (21120110110221), we get a palindrome (33321211212333).

The spelling of 12201101102112 in words is "twelve trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred twelve".