100011120112200 has 768 divisors, whose sum is σ = 364171205836800. Its totient is φ = 22444756300800.

The previous prime is 100011120112097. The next prime is 100011120112201. The reversal of 100011120112200 is 2211021110001.

100011120112200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100011120112200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100011120112201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3813275487 + ... + 3813301713.

It is an arithmetic number, because the mean of its divisors is an integer number (474181257600).

Almost surely, 2^{100011120112200} is an apocalyptic number.

100011120112200 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 100011120112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182085602918400).

100011120112200 is an abundant number, since it is smaller than the sum of its proper divisors (264160085724600).

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

100011120112200 is a wasteful number, since it uses less digits than its factorization.

100011120112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26970 (or 26961 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011120112200 its reverse (2211021110001), we get a palindrome (102222141222201).

The spelling of 100011120112200 in words is "one hundred trillion, eleven billion, one hundred twenty million, one hundred twelve thousand, two hundred".