6001106061100 has 72 divisors (see below), whose sum is σ = 13125157557680. Its totient is φ = 2381524865280.

The previous prime is 6001106061061. The next prime is 6001106061157. The reversal of 6001106061100 is 11606011006.

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, 20048134 + ... + 20345266.

Almost surely, 2^{6001106061100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001106061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562578778840).

6001106061100 is an abundant number, since it is smaller than the sum of its proper divisors (7124051496580).

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

6001106061100 is a wasteful number, since it uses less digits than its factorization.

6001106061100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298739 (or 298732 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 6001106061100 in words is "six trillion, one billion, one hundred six million, sixty-one thousand, one hundred".