101444513100240 has 80 divisors (see below), whose sum is σ = 315368863368768. Its totient is φ = 26975235944448.

The previous prime is 101444513100233. The next prime is 101444513100263. The reversal of 101444513100240 is 42001315444101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101444513100198 and 101444513100207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598619914 + ... + 598789353.

Almost surely, 2^{101444513100240} is an apocalyptic number.

101444513100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101444513100240 is an abundant number, since it is smaller than the sum of its proper divisors (213924350268528).

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

101444513100240 is a wasteful number, since it uses less digits than its factorization.

101444513100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197409636 (or 1197409630 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 101444513100240 its reverse (42001315444101), we get a palindrome (143445828544341).

The spelling of 101444513100240 in words is "one hundred one trillion, four hundred forty-four billion, five hundred thirteen million, one hundred thousand, two hundred forty".