6101111006001 has 24 divisors (see below), whose sum is σ = 10119865148640. Its totient is φ = 3503030241600.

The previous prime is 6101111005987. The next prime is 6101111006047. The reversal of 6101111006001 is 1006001111016.

6101111006001 is a `hidden beast` number, since 61 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 600 + 1 = 666.

6101111006001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6101111006001 - 2⁶ = 6101111005937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6101111006401) 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, 1621771380 + ... + 1621775141.

It is an arithmetic number, because the mean of its divisors is an integer number (421661047860).

Almost surely, 2^{6101111006001} is an apocalyptic number.

It is an amenable number.

6101111006001 is a deficient number, since it is larger than the sum of its proper divisors (4018754142639).

6101111006001 is a wasteful number, since it uses less digits than its factorization.

6101111006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243546557 (or 3243546554 counting only the distinct ones).

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

Adding to 6101111006001 its reverse (1006001111016), we get a palindrome (7107112117017).

The spelling of 6101111006001 in words is "six trillion, one hundred one billion, one hundred eleven million, six thousand, one".