101448735108820 has 384 divisors, whose sum is σ = 257539888779264. Its totient is φ = 33413935104000.

The previous prime is 101448735108767. The next prime is 101448735108841. The reversal of 101448735108820 is 28801537844101.

101448735108820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2539181964 + ... + 2539221916.

It is an arithmetic number, because the mean of its divisors is an integer number (670676793696).

Almost surely, 2^{101448735108820} is an apocalyptic number.

101448735108820 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 101448735108820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128769944389632).

101448735108820 is an abundant number, since it is smaller than the sum of its proper divisors (156091153670444).

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

101448735108820 is a wasteful number, since it uses less digits than its factorization.

101448735108820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224 (or 40200 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 101448735108820 in words is "one hundred one trillion, four hundred forty-eight billion, seven hundred thirty-five million, one hundred eight thousand, eight hundred twenty".