2011001011000 has 64 divisors (see below), whose sum is σ = 4765308912000. Its totient is φ = 794218089600.

The previous prime is 2011001010979. The next prime is 2011001011001. The reversal of 2011001011000 is 1101001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12648855 + ... + 12806854.

It is an arithmetic number, because the mean of its divisors is an integer number (74457951750).

Almost surely, 2^{2011001011000} is an apocalyptic number.

2011001011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011001011000 is an abundant number, since it is smaller than the sum of its proper divisors (2754307901000).

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

2011001011000 is a wasteful number, since it uses less digits than its factorization.

2011001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455809 (or 25455795 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 2011001011000 its reverse (1101001102), we get a palindrome (2012102012102).

The spelling of 2011001011000 in words is "two trillion, eleven billion, one million, eleven thousand".