6001011106100 has 72 divisors (see below), whose sum is σ = 13962740077440. Its totient is φ = 2230606609920.

The previous prime is 6001011106093. The next prime is 6001011106121. The reversal of 6001011106100 is 16011101006.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22207514 + ... + 22476113.

It is an arithmetic number, because the mean of its divisors is an integer number (193926945520).

Almost surely, 2^{6001011106100} is an apocalyptic number.

It is an amenable number.

6001011106100 is an abundant number, since it is smaller than the sum of its proper divisors (7961728971340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6001011106100 is a wasteful number, since it uses less digits than its factorization.

6001011106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44683737 (or 44683730 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 6001011106100 its reverse (16011101006), we get a palindrome (6017022207106).

The spelling of 6001011106100 in words is "six trillion, one billion, eleven million, one hundred six thousand, one hundred".