101359359360000 has 1320 divisors, whose sum is σ = 418550189566080. Its totient is φ = 23135735808000.

The previous prime is 101359359359983. The next prime is 101359359360013. The reversal of 101359359360000 is 63953953101.

101359359360000 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 9 + 35 + 9 + 3 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41086078767 + ... + 41086081233.

It is an arithmetic number, because the mean of its divisors is an integer number (317083476944).

Almost surely, 2^{101359359360000} is an apocalyptic number.

101359359360000 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 101359359360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209275094783040).

101359359360000 is an abundant number, since it is smaller than the sum of its proper divisors (317190830206080).

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

101359359360000 is a wasteful number, since it uses less digits than its factorization.

101359359360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 101359359360000 in words is "one hundred one trillion, three hundred fifty-nine billion, three hundred fifty-nine million, three hundred sixty thousand".