6006006106101 has 24 divisors (see below), whose sum is σ = 8909141727200. Its totient is φ = 3896768899296.

The previous prime is 6006006106097. The next prime is 6006006106109. The reversal of 6006006106101 is 1016016006006.

It is not a de Polignac number, because 6006006106101 - 2² = 6006006106097 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 (6006006106109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27906151 + ... + 28120548.

Almost surely, 2^{6006006106101} is an apocalyptic number.

It is an amenable number.

6006006106101 is a deficient number, since it is larger than the sum of its proper divisors (2903135621099).

6006006106101 is a wasteful number, since it uses less digits than its factorization.

6006006106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56027025 (or 56027022 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 6006006106101 in words is "six trillion, six billion, six million, one hundred six thousand, one hundred one".