11000212121010 has 256 divisors, whose sum is σ = 31081664839680. Its totient is φ = 2439259176960.

The previous prime is 11000212120993. The next prime is 11000212121011. The reversal of 11000212121010 is 1012121200011.

It is not an unprimeable number, because it can be changed into a prime (11000212121011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1134388482 + ... + 1134398178.

It is an arithmetic number, because the mean of its divisors is an integer number (121412753280).

Almost surely, 2^{11000212121010} is an apocalyptic number.

11000212121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000212121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540832419840).

11000212121010 is an abundant number, since it is smaller than the sum of its proper divisors (20081452718670).

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

11000212121010 is a wasteful number, since it uses less digits than its factorization.

11000212121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000212121010 its reverse (1012121200011), we get a palindrome (12012333321021).

The spelling of 11000212121010 in words is "eleven trillion, two hundred twelve million, one hundred twenty-one thousand, ten".