100443124100 has 144 divisors (see below), whose sum is σ = 239621496576. Its totient is φ = 36242640000.

The previous prime is 100443124097. The next prime is 100443124151. The reversal of 100443124100 is 1421344001.

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 47 ways as a sum of consecutive naturals, for example, 95568575 + ... + 95569625.

Almost surely, 2^100443124100 is an apocalyptic number.

100443124100 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 100443124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119810748288).

100443124100 is an abundant number, since it is smaller than the sum of its proper divisors (139178372476).

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

100443124100 is a wasteful number, since it uses less digits than its factorization.

100443124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100443124100 its reverse (1421344001), we get a palindrome (101864468101).

The spelling of 100443124100 in words is "one hundred billion, four hundred forty-three million, one hundred twenty-four thousand, one hundred".