101114441344224 has 576 divisors, whose sum is σ = 361737284493312. Its totient is φ = 26027038540800.

The previous prime is 101114441344181. The next prime is 101114441344229. The reversal of 101114441344224 is 422443144411101.

101114441344224 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 14 + 4 + 413 + 4 + 4 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101114441344229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225781509 + ... + 1225863995.

It is an arithmetic number, because the mean of its divisors is an integer number (628016118912).

Almost surely, 2^{101114441344224} is an apocalyptic number.

101114441344224 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 101114441344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180868642246656).

101114441344224 is an abundant number, since it is smaller than the sum of its proper divisors (260622843149088).

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

101114441344224 is a wasteful number, since it uses less digits than its factorization.

101114441344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83019 (or 83008 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 101114441344224 its reverse (422443144411101), we get a palindrome (523557585755325).

The spelling of 101114441344224 in words is "one hundred one trillion, one hundred fourteen billion, four hundred forty-one million, three hundred forty-four thousand, two hundred twenty-four".