111202100002112 has 224 divisors, whose sum is σ = 263266440192000. Its totient is φ = 46569648244224.

The previous prime is 111202100002111. The next prime is 111202100002183. The reversal of 111202100002112 is 211200001202111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111202100002111) 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, 216035993 + ... + 216550119.

It is an arithmetic number, because the mean of its divisors is an integer number (1175296608000).

Almost surely, 2^{111202100002112} 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 111202100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131633220096000).

111202100002112 is an abundant number, since it is smaller than the sum of its proper divisors (152064340189888).

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

111202100002112 is an equidigital number, since it uses as much as digits as its factorization.

111202100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514386 (or 514362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111202100002112 its reverse (211200001202111), we get a palindrome (322402101204223).

The spelling of 111202100002112 in words is "one hundred eleven trillion, two hundred two billion, one hundred million, two thousand, one hundred twelve".