112202011111100 has 144 divisors (see below), whose sum is σ = 256837634464320. Its totient is φ = 42487592448000.

The previous prime is 112202011111049. The next prime is 112202011111103. The reversal of 112202011111100 is 1111110202211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202011111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28309124 + ... + 32028276.

It is an arithmetic number, because the mean of its divisors is an integer number (1783594683780).

Almost surely, 2^{112202011111100} is an apocalyptic number.

112202011111100 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 112202011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128418817232160).

112202011111100 is an abundant number, since it is smaller than the sum of its proper divisors (144635623353220).

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

112202011111100 is a wasteful number, since it uses less digits than its factorization.

112202011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719400 (or 3719393 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112202011111100 its reverse (1111110202211), we get a palindrome (113313121313311).

It can be divided in two parts, 11220201111 and 1100, that added together give a palindrome (11220202211).

The spelling of 112202011111100 in words is "one hundred twelve trillion, two hundred two billion, eleven million, one hundred eleven thousand, one hundred".