111200100133122 has 384 divisors, whose sum is σ = 335174558584320. Its totient is φ = 25711203409920.

The previous prime is 111200100133093. The next prime is 111200100133151. The reversal of 111200100133122 is 221331001002111.

111200100133122 is a `hidden beast` number, since 1 + 11 + 200 + 100 + 1 + 331 + 22 = 666.

111200100133122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111200100133093) and next prime (111200100133151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111200100133095 and 111200100133104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74595204 + ... + 76071312.

It is an arithmetic number, because the mean of its divisors is an integer number (872850412980).

Almost surely, 2^{111200100133122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111200100133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167587279292160).

111200100133122 is an abundant number, since it is smaller than the sum of its proper divisors (223974458451198).

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

111200100133122 is a wasteful number, since it uses less digits than its factorization.

111200100133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476298 (or 1476295 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111200100133122 its reverse (221331001002111), we get a palindrome (332531101135233).

The spelling of 111200100133122 in words is "one hundred eleven trillion, two hundred billion, one hundred million, one hundred thirty-three thousand, one hundred twenty-two".