12202111100112 has 160 divisors (see below), whose sum is σ = 33591408048000. Its totient is φ = 3810041604096.

The previous prime is 12202111100027. The next prime is 12202111100117. The reversal of 12202111100112 is 21100111120221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12202111100091 and 12202111100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202111100117) 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, 8234458 + ... + 9602630.

It is an arithmetic number, because the mean of its divisors is an integer number (209946300300).

Almost surely, 2^{12202111100112} is an apocalyptic number.

12202111100112 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 12202111100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795704024000).

12202111100112 is an abundant number, since it is smaller than the sum of its proper divisors (21389296947888).

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

12202111100112 is a wasteful number, since it uses less digits than its factorization.

12202111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368405 (or 1368399 counting only the distinct ones).

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

Adding to 12202111100112 its reverse (21100111120221), we get a palindrome (33302222220333).

The spelling of 12202111100112 in words is "twelve trillion, two hundred two billion, one hundred eleven million, one hundred thousand, one hundred twelve".