101134224441 has 24 divisors (see below), whose sum is σ = 149909072040. Its totient is φ = 65662617600.

The previous prime is 101134224427. The next prime is 101134224449. The reversal of 101134224441 is 144422431101.

It can be written as a sum of positive squares in 4 ways, for example, as 6245582841 + 94888641600 = 79029^2 + 308040^2 .

It is not a de Polignac number, because 101134224441 - 2⁵ = 101134224409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101134224449) 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, 30880 + ... + 450801.

It is an arithmetic number, because the mean of its divisors is an integer number (6246211335).

Almost surely, 2^101134224441 is an apocalyptic number.

It is an amenable number.

101134224441 is a deficient number, since it is larger than the sum of its proper divisors (48774847599).

101134224441 is a wasteful number, since it uses less digits than its factorization.

101134224441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482297 (or 482294 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101134224441 its reverse (144422431101), we get a palindrome (245556655542).

The spelling of 101134224441 in words is "one hundred one billion, one hundred thirty-four million, two hundred twenty-four thousand, four hundred forty-one".