2011210000000 has 128 divisors (see below), whose sum is σ = 5008396358160. Its totient is φ = 804480000000.

The previous prime is 2011209999991. The next prime is 2011210000001. The reversal of 2011210000000 is 121102.

It can be written as a sum of positive squares in 8 ways, for example, as 1638338560576 + 372871439424 = 1279976^2 + 610632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2011210000001) 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, 9899440 + ... + 10100560.

Almost surely, 2^{2011210000000} is an apocalyptic number.

2011210000000 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 2011210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504198179080).

2011210000000 is an abundant number, since it is smaller than the sum of its proper divisors (2997186358160).

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

2011210000000 is an frugal number, since it uses more digits than its factorization.

2011210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201170 (or 201128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2011210000000 its reverse (121102), we get a palindrome (2011210121102).

The spelling of 2011210000000 in words is "two trillion, eleven billion, two hundred ten million", and thus it is an aban number.