111122012222100 has 720 divisors, whose sum is σ = 406657392261120. Its totient is φ = 26000366515200.

The previous prime is 111122012222009. The next prime is 111122012222101. The reversal of 111122012222100 is 1222210221111.

111122012222100 is a `hidden beast` number, since 1 + 1 + 11 + 220 + 1 + 222 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122012222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9335624749 + ... + 9335636651.

It is an arithmetic number, because the mean of its divisors is an integer number (564801933696).

Almost surely, 2^{111122012222100} is an apocalyptic number.

111122012222100 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 111122012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203328696130560).

111122012222100 is an abundant number, since it is smaller than the sum of its proper divisors (295535380039020).

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

111122012222100 is a wasteful number, since it uses less digits than its factorization.

111122012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582 (or 15566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111122012222100 its reverse (1222210221111), we get a palindrome (112344222443211).

The spelling of 111122012222100 in words is "one hundred eleven trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, one hundred".