101132011344 has 320 divisors, whose sum is σ = 336678451200. Its totient is φ = 25439533056.

The previous prime is 101132011301. The next prime is 101132011361. The reversal of 101132011344 is 443110231101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101132011344.

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 63 ways as a sum of consecutive naturals, for example, 10508967 + ... + 10518585.

It is an arithmetic number, because the mean of its divisors is an integer number (1052120160).

Almost surely, 2^101132011344 is an apocalyptic number.

101132011344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168339225600).

101132011344 is an abundant number, since it is smaller than the sum of its proper divisors (235546439856).

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

101132011344 is a wasteful number, since it uses less digits than its factorization.

101132011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101132011344 its reverse (443110231101), we get a palindrome (544242242445).

The spelling of 101132011344 in words is "one hundred one billion, one hundred thirty-two million, eleven thousand, three hundred forty-four".