100120401441 has 24 divisors (see below), whose sum is σ = 145349875944. Its totient is φ = 66410023680.

The previous prime is 100120401419. The next prime is 100120401449. The reversal of 100120401441 is 144104021001.

100120401441 is a `hidden beast` number, since 100 + 120 + 4 + 0 + 1 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68541334416 + 31579067025 = 261804^2 + 177705^2 .

It is not a de Polignac number, because 100120401441 - 2²⁵ = 100086847009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120401449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1682895 + ... + 1741371.

It is an arithmetic number, because the mean of its divisors is an integer number (6056244831).

Almost surely, 2^100120401441 is an apocalyptic number.

It is an amenable number.

100120401441 is a deficient number, since it is larger than the sum of its proper divisors (45229474503).

100120401441 is a wasteful number, since it uses less digits than its factorization.

100120401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59441 (or 59438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100120401441 its reverse (144104021001), we get a palindrome (244224422442).

The spelling of 100120401441 in words is "one hundred billion, one hundred twenty million, four hundred one thousand, four hundred forty-one".