111323020112100 has 216 divisors, whose sum is σ = 358591090946088. Its totient is φ = 28865710540800.

The previous prime is 111323020112077. The next prime is 111323020112119. The reversal of 111323020112100 is 1211020323111.

111323020112100 is a `hidden beast` number, since 1 + 113 + 230 + 201 + 121 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9594171722916 + 101728848389184 = 3097446^2 + 10086072^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52133440 + ... + 54226760.

Almost surely, 2^{111323020112100} is an apocalyptic number.

111323020112100 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 111323020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179295545473044).

111323020112100 is an abundant number, since it is smaller than the sum of its proper divisors (247268070833988).

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

111323020112100 is a wasteful number, since it uses less digits than its factorization.

111323020112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094975 (or 2094965 counting only the distinct ones).

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

Adding to 111323020112100 its reverse (1211020323111), we get a palindrome (112534040435211).

The spelling of 111323020112100 in words is "one hundred eleven trillion, three hundred twenty-three billion, twenty million, one hundred twelve thousand, one hundred".