10005060101101 has 16 divisors (see below), whose sum is σ = 10977655494960. Its totient is φ = 9063079603200.

The previous prime is 10005060101059. The next prime is 10005060101119. The reversal of 10005060101101 is 10110106050001.

It can be written as a sum of positive squares in 8 ways, for example, as 487378515625 + 9517681585476 = 698125^2 + 3085074^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005060101101 - 2³³ = 9996470166509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005060101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33568446 + ... + 33865183.

It is an arithmetic number, because the mean of its divisors is an integer number (686103468435).

Almost surely, 2^{10005060101101} is an apocalyptic number.

It is an amenable number.

10005060101101 is a deficient number, since it is larger than the sum of its proper divisors (972595393859).

10005060101101 is a wasteful number, since it uses less digits than its factorization.

10005060101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67433856.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10005060101101 its reverse (10110106050001), we get a palindrome (20115166151102).

The spelling of 10005060101101 in words is "ten trillion, five billion, sixty million, one hundred one thousand, one hundred one".