100300223223200 has 576 divisors, whose sum is σ = 329167791912960. Its totient is φ = 28821837312000.

The previous prime is 100300223223199. The next prime is 100300223223259. The reversal of 100300223223200 is 2322322003001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649371581 + ... + 649526019.

It is an arithmetic number, because the mean of its divisors is an integer number (571471860960).

Almost surely, 2^{100300223223200} is an apocalyptic number.

100300223223200 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 100300223223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164583895956480).

100300223223200 is an abundant number, since it is smaller than the sum of its proper divisors (228867568689760).

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

100300223223200 is a wasteful number, since it uses less digits than its factorization.

100300223223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155301 (or 155288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 100300223223200 its reverse (2322322003001), we get a palindrome (102622545226201).

The spelling of 100300223223200 in words is "one hundred trillion, three hundred billion, two hundred twenty-three million, two hundred twenty-three thousand, two hundred".