111001122101200 has 30 divisors (see below), whose sum is σ = 266680195849094. Its totient is φ = 44400448840320.

The previous prime is 111001122101161. The next prime is 111001122101209. The reversal of 111001122101200 is 2101221100111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38783350506384 + 72217771594816 = 6227628^2 + 8498104^2 .

It is a super-2 number, since 2×111001122101200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001122101209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138751402227 + ... + 138751403026.

Almost surely, 2^{111001122101200} is an apocalyptic number.

111001122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001122101200 is an abundant number, since it is smaller than the sum of its proper divisors (155679073747894).

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

111001122101200 is a wasteful number, since it uses less digits than its factorization.

111001122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277502805271 (or 277502805260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111001122101200 its reverse (2101221100111), we get a palindrome (113102343201311).

The spelling of 111001122101200 in words is "one hundred eleven trillion, one billion, one hundred twenty-two million, one hundred one thousand, two hundred".