101401344000 has 576 divisors, whose sum is σ = 398822991840. Its totient is φ = 24576000000.

The previous prime is 101401343987. The next prime is 101401344019. The reversal of 101401344000 is 443104101.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25342000 + ... + 25346000.

Almost surely, 2^101401344000 is an apocalyptic number.

101401344000 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 101401344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199411495920).

101401344000 is an abundant number, since it is smaller than the sum of its proper divisors (297421647840).

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

101401344000 is a wasteful number, since it uses less digits than its factorization.

101401344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101401344000 its reverse (443104101), we get a palindrome (101844448101).

The spelling of 101401344000 in words is "one hundred one billion, four hundred one million, three hundred forty-four thousand".