10100815718400 has 1296 divisors, whose sum is σ = 41264465467680. Its totient is φ = 2341596364800.

The previous prime is 10100815718387. The next prime is 10100815718401. The reversal of 10100815718400 is 481751800101.

10100815718400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 8 + 1 + 571 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10100815718401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2681393317 + ... + 2681397083.

It is an arithmetic number, because the mean of its divisors is an integer number (31839865330).

Almost surely, 2^{10100815718400} is an apocalyptic number.

10100815718400 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 10100815718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632232733840).

10100815718400 is an abundant number, since it is smaller than the sum of its proper divisors (31163649749280).

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

10100815718400 is a wasteful number, since it uses less digits than its factorization.

10100815718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 10100815718400 in words is "ten trillion, one hundred billion, eight hundred fifteen million, seven hundred eighteen thousand, four hundred".