101132124444 has 144 divisors (see below), whose sum is σ = 285030083520. Its totient is φ = 30020014080.

The previous prime is 101132124397. The next prime is 101132124451. The reversal of 101132124444 is 444421231101.

101132124444 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 212 + 4 + 444 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23029489 + ... + 23033879.

It is an arithmetic number, because the mean of its divisors is an integer number (1979375580).

Almost surely, 2^101132124444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142515041760).

101132124444 is an abundant number, since it is smaller than the sum of its proper divisors (183897959076).

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

101132124444 is a wasteful number, since it uses less digits than its factorization.

101132124444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6135 counting only the distinct ones).

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

Adding to 101132124444 its reverse (444421231101), we get a palindrome (545553355545).

The spelling of 101132124444 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-four thousand, four hundred forty-four".