100223311120200 has 144 divisors (see below), whose sum is σ = 336662863804800. Its totient is φ = 26719897507200.

The previous prime is 100223311120183. The next prime is 100223311120213. The reversal of 100223311120200 is 2021113322001.

100223311120200 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 331 + 112 + 0 + 200 = 666.

100223311120200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1035841 + ... + 14195759.

It is an arithmetic number, because the mean of its divisors is an integer number (2337936554200).

Almost surely, 2^{100223311120200} is an apocalyptic number.

100223311120200 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 100223311120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168331431902400).

100223311120200 is an abundant number, since it is smaller than the sum of its proper divisors (236439552684600).

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

100223311120200 is a wasteful number, since it uses less digits than its factorization.

100223311120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164172 (or 13164160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100223311120200 its reverse (2021113322001), we get a palindrome (102244424442201).

The spelling of 100223311120200 in words is "one hundred trillion, two hundred twenty-three billion, three hundred eleven million, one hundred twenty thousand, two hundred".