100010010727800 has 384 divisors, whose sum is σ = 348641837280000. Its totient is φ = 26348457807360.

The previous prime is 100010010727799. The next prime is 100010010727813. The reversal of 100010010727800 is 8727010010001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203999371 + ... + 204489029.

It is an arithmetic number, because the mean of its divisors is an integer number (907921451250).

Almost surely, 2^{100010010727800} is an apocalyptic number.

100010010727800 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 100010010727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174320918640000).

100010010727800 is an abundant number, since it is smaller than the sum of its proper divisors (248631826552200).

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

100010010727800 is a wasteful number, since it uses less digits than its factorization.

100010010727800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490140 (or 490125 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

Adding to 100010010727800 its reverse (8727010010001), we get a palindrome (108737020737801).

The spelling of 100010010727800 in words is "one hundred trillion, ten billion, ten million, seven hundred twenty-seven thousand, eight hundred".