101330401440 has 192 divisors, whose sum is σ = 321673524480. Its totient is φ = 26812047360.

The previous prime is 101330401439. The next prime is 101330401441. The reversal of 101330401440 is 44104033101.

It is an interprime number because it is at equal distance from previous prime (101330401439) and next prime (101330401441).

It is not an unprimeable number, because it can be changed into a prime (101330401441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41510620 + ... + 41513060.

It is an arithmetic number, because the mean of its divisors is an integer number (1675382940).

Almost surely, 2^101330401440 is an apocalyptic number.

101330401440 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 101330401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160836762240).

101330401440 is an abundant number, since it is smaller than the sum of its proper divisors (220343123040).

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

101330401440 is a wasteful number, since it uses less digits than its factorization.

101330401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101330401440 its reverse (44104033101), we get a palindrome (145434434541).

The spelling of 101330401440 in words is "one hundred one billion, three hundred thirty million, four hundred one thousand, four hundred forty".