10000601100600 has 192 divisors, whose sum is σ = 33842991767040. Its totient is φ = 2422755379200.

The previous prime is 10000601100563. The next prime is 10000601100647. The reversal of 10000601100600 is 600110600001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10000601100600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9304704 + ... + 10323696.

It is an arithmetic number, because the mean of its divisors is an integer number (176265582120).

Almost surely, 2^{10000601100600} is an apocalyptic number.

10000601100600 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 10000601100600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921495883520).

10000601100600 is an abundant number, since it is smaller than the sum of its proper divisors (23842390666440).

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

10000601100600 is a wasteful number, since it uses less digits than its factorization.

10000601100600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020510 (or 1020501 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10000601100600 its reverse (600110600001), we get a palindrome (10600711700601).

The spelling of 10000601100600 in words is "ten trillion, six hundred one million, one hundred thousand, six hundred".