100144133122504 has 16 divisors (see below), whose sum is σ = 187770411164700. Its totient is φ = 50072023478592.

The previous prime is 100144133122493. The next prime is 100144133122589. The reversal of 100144133122504 is 405221331441001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93092973340900 + 7051159781604 = 9648470^2 + 2655402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5879794 + ... + 15325150.

Almost surely, 2^{100144133122504} is an apocalyptic number.

It is an amenable number.

100144133122504 is a deficient number, since it is larger than the sum of its proper divisors (87626278042196).

100144133122504 is a wasteful number, since it uses less digits than its factorization.

100144133122504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770672 (or 10770668 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 100144133122504 its reverse (405221331441001), we get a palindrome (505365464563505).

The spelling of 100144133122504 in words is "one hundred trillion, one hundred forty-four billion, one hundred thirty-three million, one hundred twenty-two thousand, five hundred four".