2011023003000 has 256 divisors, whose sum is σ = 6846690240000. Its totient is φ = 487385472000.

The previous prime is 2011023002927. The next prime is 2011023003007. The reversal of 2011023003000 is 3003201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011023003007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 171891151 + ... + 171902849.

It is an arithmetic number, because the mean of its divisors is an integer number (26744883750).

Almost surely, 2^{2011023003000} is an apocalyptic number.

2011023003000 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 2011023003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423345120000).

2011023003000 is an abundant number, since it is smaller than the sum of its proper divisors (4835667237000).

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

2011023003000 is a wasteful number, since it uses less digits than its factorization.

2011023003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2011023003000 its reverse (3003201102), we get a palindrome (2014026204102).

It can be divided in two parts, 201 and 1023003000, that added together give a palindrome (1023003201).

The spelling of 2011023003000 in words is "two trillion, eleven billion, twenty-three million, three thousand".