10005060101100 has 36 divisors (see below), whose sum is σ = 28947973893384. Its totient is φ = 2668016026880.

The previous prime is 10005060101059. The next prime is 10005060101119. The reversal of 10005060101100 is 110106050001.

10005060101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10005060101100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16675099869 + ... + 16675100468.

Almost surely, 2^{10005060101100} is an apocalyptic number.

10005060101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005060101100 is an abundant number, since it is smaller than the sum of its proper divisors (18942913792284).

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

10005060101100 is a wasteful number, since it uses less digits than its factorization.

10005060101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33350200354 (or 33350200347 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10005060101100 its reverse (110106050001), we get a palindrome (10115166151101).

The spelling of 10005060101100 in words is "ten trillion, five billion, sixty million, one hundred one thousand, one hundred".