100400144124 has 48 divisors (see below), whose sum is σ = 267759634688. Its totient is φ = 28682978688.

The previous prime is 100400144107. The next prime is 100400144129. The reversal of 100400144124 is 421441004001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100400144124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400144129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911112 + ... + 1015344.

Almost surely, 2^100400144124 is an apocalyptic number.

100400144124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100400144124 is an abundant number, since it is smaller than the sum of its proper divisors (167359490564).

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

100400144124 is a wasteful number, since it uses less digits than its factorization.

100400144124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115714 (or 115712 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100400144124 its reverse (421441004001), we get a palindrome (521841148125).

The spelling of 100400144124 in words is "one hundred billion, four hundred million, one hundred forty-four thousand, one hundred twenty-four".