2000011001100 has 144 divisors (see below), whose sum is σ = 6961441939200. Its totient is φ = 433085080320.

The previous prime is 2000011001089. The next prime is 2000011001111. The reversal of 2000011001100 is 11001100002.

It is an interprime number because it is at equal distance from previous prime (2000011001089) and next prime (2000011001111).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2000011001100 is a modest number, since divided by 11001100 gives 20000 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25022895 + ... + 25102694.

It is an arithmetic number, because the mean of its divisors is an integer number (48343346800).

Almost surely, 2^{2000011001100} is an apocalyptic number.

2000011001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000011001100 is an abundant number, since it is smaller than the sum of its proper divisors (4961430938100).

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

2000011001100 is a wasteful number, since it uses less digits than its factorization.

2000011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50125632 (or 50125625 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2000011001100 its reverse (11001100002), we get a palindrome (2011012101102).

The spelling of 2000011001100 in words is "two trillion, eleven million, one thousand, one hundred".