2011100111000 has 64 divisors (see below), whose sum is σ = 4709594504160. Its totient is φ = 803821200000.

The previous prime is 2011100110991. The next prime is 2011100111011. The reversal of 2011100111000 is 1110011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528095 + ... + 2073905.

Almost surely, 2^{2011100111000} is an apocalyptic number.

2011100111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354797252080).

2011100111000 is an abundant number, since it is smaller than the sum of its proper divisors (2698494393160).

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

2011100111000 is a wasteful number, since it uses less digits than its factorization.

2011100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547133 (or 1547119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2011100111000 its reverse (1110011102), we get a palindrome (2012210122102).

The spelling of 2011100111000 in words is "two trillion, eleven billion, one hundred million, one hundred eleven thousand".