100123533200 has 60 divisors (see below), whose sum is σ = 254696616900. Its totient is φ = 37693562880.

The previous prime is 100123533199. The next prime is 100123533221. The reversal of 100123533200 is 2335321001.

It can be written as a sum of positive squares in 6 ways, for example, as 2527273984 + 97596259216 = 50272^2 + 312404^2 .

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

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, 7355225 + ... + 7368824.

It is an arithmetic number, because the mean of its divisors is an integer number (4244943615).

Almost surely, 2^100123533200 is an apocalyptic number.

100123533200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123533200 is an abundant number, since it is smaller than the sum of its proper divisors (154573083700).

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

100123533200 is a wasteful number, since it uses less digits than its factorization.

100123533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14724084 (or 14724073 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 100123533200 its reverse (2335321001), we get a palindrome (102458854201).

The spelling of 100123533200 in words is "one hundred billion, one hundred twenty-three million, five hundred thirty-three thousand, two hundred".