101142322440 has 128 divisors (see below), whose sum is σ = 316793030400. Its totient is φ = 25784478720.

The previous prime is 101142322423. The next prime is 101142322469. The reversal of 101142322440 is 44223241101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101142322440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5591010 + ... + 5609070.

It is an arithmetic number, because the mean of its divisors is an integer number (2474945550).

Almost surely, 2^101142322440 is an apocalyptic number.

101142322440 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 101142322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158396515200).

101142322440 is an abundant number, since it is smaller than the sum of its proper divisors (215650707960).

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

101142322440 is a wasteful number, since it uses less digits than its factorization.

101142322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20127 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101142322440 its reverse (44223241101), we get a palindrome (145365563541).

The spelling of 101142322440 in words is "one hundred one billion, one hundred forty-two million, three hundred twenty-two thousand, four hundred forty".