101284823136000 has 576 divisors, whose sum is σ = 386201872982016. Its totient is φ = 23046967296000.

The previous prime is 101284823135999. The next prime is 101284823136059. The reversal of 101284823136000 is 631328482101.

It is a self number, because there is not a number n which added to its sum of digits gives 101284823136000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149518060 + ... + 150193940.

It is an arithmetic number, because the mean of its divisors is an integer number (670489362816).

Almost surely, 2^{101284823136000} is an apocalyptic number.

101284823136000 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 101284823136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193100936491008).

101284823136000 is an abundant number, since it is smaller than the sum of its proper divisors (284917049846016).

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

101284823136000 is an equidigital number, since it uses as much as digits as its factorization.

101284823136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676145 (or 676121 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 101284823136000 in words is "one hundred one trillion, two hundred eighty-four billion, eight hundred twenty-three million, one hundred thirty-six thousand".