101334042000 has 720 divisors, whose sum is σ = 386058054096. Its totient is φ = 24686592000.

The previous prime is 101334041971. The next prime is 101334042001. The reversal of 101334042000 is 240433101.

It can be written as a sum of positive squares in 24 ways, for example, as 100605689856 + 728352144 = 317184^2 + 26988^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (101334042001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 514385902 + ... + 514386098.

Almost surely, 2^101334042000 is an apocalyptic number.

101334042000 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 101334042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193029027048).

101334042000 is an abundant number, since it is smaller than the sum of its proper divisors (284724012096).

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

101334042000 is a wasteful number, since it uses less digits than its factorization.

101334042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101334042000 its reverse (240433101), we get a palindrome (101574475101).

The spelling of 101334042000 in words is "one hundred one billion, three hundred thirty-four million, forty-two thousand".