10006006060101 has 16 divisors (see below), whose sum is σ = 13354602794624. Its totient is φ = 6664040688384.

The previous prime is 10006006060069. The next prime is 10006006060117. The reversal of 10006006060101 is 10106060060001.

10006006060101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006006060101 - 2⁵ = 10006006060069 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 (10006006060121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68736345 + ... + 68881761.

It is an arithmetic number, because the mean of its divisors is an integer number (834662674664).

Almost surely, 2^{10006006060101} is an apocalyptic number.

It is an amenable number.

10006006060101 is a deficient number, since it is larger than the sum of its proper divisors (3348596734523).

10006006060101 is a wasteful number, since it uses less digits than its factorization.

10006006060101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168060.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 10006006060101 in words is "ten trillion, six billion, six million, sixty thousand, one hundred one".