101044333344020 has 192 divisors, whose sum is σ = 249757961967360. Its totient is φ = 33940361318400.

The previous prime is 101044333343959. The next prime is 101044333344043. The reversal of 101044333344020 is 20443333440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289972214 + ... + 290320466.

It is an arithmetic number, because the mean of its divisors is an integer number (1300822718580).

Almost surely, 2^{101044333344020} is an apocalyptic number.

101044333344020 is a gapful number since it is divisible by the number (10) 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 101044333344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124878980983680).

101044333344020 is an abundant number, since it is smaller than the sum of its proper divisors (148713628623340).

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

101044333344020 is a wasteful number, since it uses less digits than its factorization.

101044333344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350026 (or 350024 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 101044333344020 its reverse (20443333440101), we get a palindrome (121487666784121).

The spelling of 101044333344020 in words is "one hundred one trillion, forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, twenty".