100721684044800 has 5280 divisors, whose sum is σ = 476766959961600. Its totient is φ = 20449929461760.

The previous prime is 100721684044769. The next prime is 100721684044837. The reversal of 100721684044800 is 8440486127001.

100721684044800 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 168 + 4 + 0 + 4 + 480 + 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 479 ways as a sum of consecutive naturals, for example, 924052147146 + ... + 924052147254.

It is an arithmetic number, because the mean of its divisors is an integer number (90296772720).

Almost surely, 2^{100721684044800} is an apocalyptic number.

100721684044800 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 100721684044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238383479980800).

100721684044800 is an abundant number, since it is smaller than the sum of its proper divisors (376045275916800).

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

100721684044800 is a wasteful number, since it uses less digits than its factorization.

100721684044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 100721684044800 in words is "one hundred trillion, seven hundred twenty-one billion, six hundred eighty-four million, forty-four thousand, eight hundred".