101144312340 has 96 divisors (see below), whose sum is σ = 298342033920. Its totient is φ = 25532320896.

The previous prime is 101144312323. The next prime is 101144312387. The reversal of 101144312340 is 43213441101.

It is a self number, because there is not a number n which added to its sum of digits gives 101144312340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456039 + ... + 1523921.

It is an arithmetic number, because the mean of its divisors is an integer number (3107729520).

Almost surely, 2^101144312340 is an apocalyptic number.

101144312340 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 101144312340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149171016960).

101144312340 is an abundant number, since it is smaller than the sum of its proper divisors (197197721580).

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

101144312340 is a wasteful number, since it uses less digits than its factorization.

101144312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69221 (or 69219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101144312340 its reverse (43213441101), we get a palindrome (144357753441).

The spelling of 101144312340 in words is "one hundred one billion, one hundred forty-four million, three hundred twelve thousand, three hundred forty".