100223003011200 has 96 divisors (see below), whose sum is σ = 330109516199760. Its totient is φ = 26726134133760.

The previous prime is 100223003011151. The next prime is 100223003011211. The reversal of 100223003011200 is 2110300322001.

100223003011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100223003011200.

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 11 ways as a sum of consecutive naturals, for example, 5219938474 + ... + 5219957673.

Almost surely, 2^{100223003011200} is an apocalyptic number.

100223003011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100223003011200 is an abundant number, since it is smaller than the sum of its proper divisors (229886513188560).

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

100223003011200 is a wasteful number, since it uses less digits than its factorization.

100223003011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439896174 (or 10439896157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100223003011200 its reverse (2110300322001), we get a palindrome (102333303333201).

The spelling of 100223003011200 in words is "one hundred trillion, two hundred twenty-three billion, three million, eleven thousand, two hundred".