111282288100 has 27 divisors (see below), whose sum is σ = 241489804297. Its totient is φ = 44511580880.

The previous prime is 111282288071. The next prime is 111282288101. The reversal of 111282288100 is 1882282111.

It is a happy number.

The square root of 111282288100 is 333590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40061623716 + 71220664384 = 200154^2 + 266872^2 .

It is a super-2 number, since 2×111282288100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111282288101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3319221 + ... + 3352579.

Almost surely, 2^111282288100 is an apocalyptic number.

111282288100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111282288100 is the 333590-th square number.

It is an amenable number.

111282288100 is an abundant number, since it is smaller than the sum of its proper divisors (130207516197).

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

111282288100 is an frugal number, since it uses more digits than its factorization.

111282288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66732 (or 33366 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 34.

Multiplying 111282288100 by its product of nonzero digits (4096), we get a square (455812252057600 = 21349760²).

The spelling of 111282288100 in words is "one hundred eleven billion, two hundred eighty-two million, two hundred eighty-eight thousand, one hundred".