100412133144 has 16 divisors (see below), whose sum is σ = 251030332920. Its totient is φ = 33470711040.

The previous prime is 100412133131. The next prime is 100412133167. The reversal of 100412133144 is 441331214001.

100412133144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4183838881 = 100412133144 / (1 + 0 + 0 + 4 + 1 + 2 + 1 + 3 + 3 + 1 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2091919417 + ... + 2091919464.

Almost surely, 2^100412133144 is an apocalyptic number.

It is an amenable number.

100412133144 is an abundant number, since it is smaller than the sum of its proper divisors (150618199776).

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

100412133144 is a wasteful number, since it uses less digits than its factorization.

100412133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183838890 (or 4183838886 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100412133144 its reverse (441331214001), we get a palindrome (541743347145).

The spelling of 100412133144 in words is "one hundred billion, four hundred twelve million, one hundred thirty-three thousand, one hundred forty-four".