101535231125344 has 96 divisors (see below), whose sum is σ = 212725333416960. Its totient is φ = 47540191193088.

The previous prime is 101535231125333. The next prime is 101535231125351. The reversal of 101535231125344 is 443521132535101.

It is a junction number, because it is equal to n+sod(n) for n = 101535231125297 and 101535231125306.

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 15 ways as a sum of consecutive naturals, for example, 192254089 + ... + 192781495.

It is an arithmetic number, because the mean of its divisors is an integer number (2215888889760).

Almost surely, 2^{101535231125344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101535231125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106362666708480).

101535231125344 is an abundant number, since it is smaller than the sum of its proper divisors (111190102291616).

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

101535231125344 is a wasteful number, since it uses less digits than its factorization.

101535231125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529220 (or 529212 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 101535231125344 in words is "one hundred one trillion, five hundred thirty-five billion, two hundred thirty-one million, one hundred twenty-five thousand, three hundred forty-four".