100000110112200 has 288 divisors, whose sum is σ = 337781720039400. Its totient is φ = 26512095744000.

The previous prime is 100000110112181. The next prime is 100000110112249. The reversal of 100000110112200 is 2211011000001.

It is a happy number.

100000110112200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9912183283044 + 90087926829156 = 3148362^2 + 9491466^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1244841636 + ... + 1244921964.

Almost surely, 2^{100000110112200} is an apocalyptic number.

100000110112200 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 100000110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168890860019700).

100000110112200 is an abundant number, since it is smaller than the sum of its proper divisors (237781609927200).

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

100000110112200 is a wasteful number, since it uses less digits than its factorization.

100000110112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84353 (or 84341 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100000110112200 its reverse (2211011000001), we get a palindrome (102211121112201).

The spelling of 100000110112200 in words is "one hundred trillion, one hundred ten million, one hundred twelve thousand, two hundred".