6006106051101 has 24 divisors (see below), whose sum is σ = 9688862441440. Its totient is φ = 3696065260272.

The previous prime is 6006106051063. The next prime is 6006106051151. The reversal of 6006106051101 is 1011506016006.

6006106051101 is a `hidden beast` number, since 600 + 6 + 1 + 0 + 6 + 0 + 51 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 6006106051101 - 2¹⁵ = 6006106018333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006106051151) 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 23 ways as a sum of consecutive naturals, for example, 950630911 + ... + 950637228.

Almost surely, 2^{6006106051101} is an apocalyptic number.

It is an amenable number.

6006106051101 is a deficient number, since it is larger than the sum of its proper divisors (3682756390339).

6006106051101 is a wasteful number, since it uses less digits than its factorization.

6006106051101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901268167 (or 1901268155 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 6006106051101 in words is "six trillion, six billion, one hundred six million, fifty-one thousand, one hundred one".