101444343000 has 1536 divisors, whose sum is σ = 445049579520. Its totient is φ = 18703872000.

The previous prime is 101444342977. The next prime is 101444343023. The reversal of 101444343000 is 343444101.

It is an interprime number because it is at equal distance from previous prime (101444342977) and next prime (101444343023).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1222220959 + ... + 1222221041.

It is an arithmetic number, because the mean of its divisors is an integer number (289745820).

Almost surely, 2^101444343000 is an apocalyptic number.

101444343000 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 101444343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222524789760).

101444343000 is an abundant number, since it is smaller than the sum of its proper divisors (343605236520).

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

101444343000 is a wasteful number, since it uses less digits than its factorization.

101444343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 101444343000 its reverse (343444101), we get a palindrome (101787787101).

It can be divided in two parts, 101444 and 343000, that added together give a palindrome (444444).

The spelling of 101444343000 in words is "one hundred one billion, four hundred forty-four million, three hundred forty-three thousand".