111202102011200 has 168 divisors, whose sum is σ = 274654991476320. Its totient is φ = 44313781708800.

The previous prime is 111202102011199. The next prime is 111202102011241. The reversal of 111202102011200 is 2110201202111.

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 23 ways as a sum of consecutive naturals, for example, 1415267915 + ... + 1415346485.

It is an arithmetic number, because the mean of its divisors is an integer number (1634851139740).

Almost surely, 2^{111202102011200} is an apocalyptic number.

111202102011200 is a gapful number since it is divisible by the number (10) 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 111202102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137327495738160).

111202102011200 is an abundant number, since it is smaller than the sum of its proper divisors (163452889465120).

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

111202102011200 is a wasteful number, since it uses less digits than its factorization.

111202102011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81905 (or 81890 counting only the distinct ones).

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

Adding to 111202102011200 its reverse (2110201202111), we get a palindrome (113312303213311).

The spelling of 111202102011200 in words is "one hundred eleven trillion, two hundred two billion, one hundred two million, eleven thousand, two hundred".