101344144000 has 256 divisors, whose sum is σ = 276276873600. Its totient is φ = 36664320000.

The previous prime is 101344143931. The next prime is 101344144051. The reversal of 101344144000 is 441443101.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 37134636 + ... + 37137364.

Almost surely, 2^101344144000 is an apocalyptic number.

101344144000 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 101344144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138138436800).

101344144000 is an abundant number, since it is smaller than the sum of its proper divisors (174932729600).

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

101344144000 is a wasteful number, since it uses less digits than its factorization.

101344144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101344144000 its reverse (441443101), we get a palindrome (101785587101).

The spelling of 101344144000 in words is "one hundred one billion, three hundred forty-four million, one hundred forty-four thousand".