2011000100000 has 144 divisors (see below), whose sum is σ = 4951113967800. Its totient is φ = 803996160000.

The previous prime is 2011000099991. The next prime is 2011000100069. The reversal of 2011000100000 is 10001102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 77932538896 + 1933067561104 = 279164^2 + 1390348^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 272896316 + ... + 272903684.

Almost surely, 2^{2011000100000} is an apocalyptic number.

2011000100000 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 2011000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475556983900).

2011000100000 is an abundant number, since it is smaller than the sum of its proper divisors (2940113867800).

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

2011000100000 is an frugal number, since it uses more digits than its factorization.

2011000100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2011000100000 its reverse (10001102), we get a palindrome (2011010101102).

The spelling of 2011000100000 in words is "two trillion, eleven billion, one hundred thousand".