101341910317440 has 1024 divisors, whose sum is σ = 364476962304000. Its totient is φ = 23786990862336.

The previous prime is 101341910317433. The next prime is 101341910317441. The reversal of 101341910317440 is 44713019143101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341910317441) 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 127 ways as a sum of consecutive naturals, for example, 9995251891 + ... + 9995262029.

It is an arithmetic number, because the mean of its divisors is an integer number (355934533500).

Almost surely, 2^{101341910317440} is an apocalyptic number.

101341910317440 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 101341910317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182238481152000).

101341910317440 is an abundant number, since it is smaller than the sum of its proper divisors (263135051986560).

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

101341910317440 is a wasteful number, since it uses less digits than its factorization.

101341910317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 101341910317440 in words is "one hundred one trillion, three hundred forty-one billion, nine hundred ten million, three hundred seventeen thousand, four hundred forty".