101000144034240 has 224 divisors, whose sum is σ = 350180812707840. Its totient is φ = 24460173619200.

The previous prime is 101000144034197. The next prime is 101000144034269. The reversal of 101000144034240 is 42430441000101.

101000144034240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101000144034240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5639326 + ... + 15290594.

Almost surely, 2^{101000144034240} is an apocalyptic number.

101000144034240 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 101000144034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175090406353920).

101000144034240 is an abundant number, since it is smaller than the sum of its proper divisors (249180668673600).

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

101000144034240 is a wasteful number, since it uses less digits than its factorization.

101000144034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652291 (or 9652281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101000144034240 its reverse (42430441000101), we get a palindrome (143430585034341).

The spelling of 101000144034240 in words is "one hundred one trillion, one hundred forty-four million, thirty-four thousand, two hundred forty".