101303040042 has 96 divisors (see below), whose sum is σ = 230369348160. Its totient is φ = 32997257280.

The previous prime is 101303040029. The next prime is 101303040043. The reversal of 101303040042 is 240040303101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101303039997 and 101303040024.

It is not an unprimeable number, because it can be changed into a prime (101303040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42015817 + ... + 42018227.

It is an arithmetic number, because the mean of its divisors is an integer number (2399680710).

Almost surely, 2^101303040042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101303040042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115184674080).

101303040042 is an abundant number, since it is smaller than the sum of its proper divisors (129066308118).

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

101303040042 is a wasteful number, since it uses less digits than its factorization.

101303040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2746 counting only the distinct ones).

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

Adding to 101303040042 its reverse (240040303101), we get a palindrome (341343343143).

The spelling of 101303040042 in words is "one hundred one billion, three hundred three million, forty thousand, forty-two".