6001011106101 has 12 divisors (see below), whose sum is σ = 9456138712800. Its totient is φ = 3636976427880.

The previous prime is 6001011106093. The next prime is 6001011106121. The reversal of 6001011106101 is 1016011101006.

6001011106101 is a `hidden beast` number, since 600 + 1 + 0 + 1 + 1 + 1 + 0 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 6001011106101 - 2³ = 6001011106093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001011106121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30308136801 + ... + 30308136998.

It is an arithmetic number, because the mean of its divisors is an integer number (788011559400).

Almost surely, 2^{6001011106101} is an apocalyptic number.

It is an amenable number.

6001011106101 is a deficient number, since it is larger than the sum of its proper divisors (3455127606699).

6001011106101 is a wasteful number, since it uses less digits than its factorization.

6001011106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60616273816 (or 60616273813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 6001011106101 its reverse (1016011101006), we get a palindrome (7017022207107).

It can be divided in two parts, 60010 and 11106101, that added together give a palindrome (11166111).

The spelling of 6001011106101 in words is "six trillion, one billion, eleven million, one hundred six thousand, one hundred one".