101447248800 has 144 divisors (see below), whose sum is σ = 330473660832. Its totient is φ = 27031065600.

The previous prime is 101447248759. The next prime is 101447248813. The reversal of 101447248800 is 8842744101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3120630 + ... + 3152970.

It is an arithmetic number, because the mean of its divisors is an integer number (2294955978).

Almost surely, 2^101447248800 is an apocalyptic number.

101447248800 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 101447248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165236830416).

101447248800 is an abundant number, since it is smaller than the sum of its proper divisors (229026412032).

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

101447248800 is a wasteful number, since it uses less digits than its factorization.

101447248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33671 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 101447248800 in words is "one hundred one billion, four hundred forty-seven million, two hundred forty-eight thousand, eight hundred".