11212121102000 has 480 divisors, whose sum is σ = 34025005385280. Its totient is φ = 3541986201600.

The previous prime is 11212121101943. The next prime is 11212121102009. The reversal of 11212121102000 is 20112121211.

11212121102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11212121102009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 724898267 + ... + 724913733.

It is an arithmetic number, because the mean of its divisors is an integer number (70885427886).

Almost surely, 2^{11212121102000} is an apocalyptic number.

11212121102000 is a gapful number since it is divisible by the number (10) 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 11212121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012502692640).

11212121102000 is an abundant number, since it is smaller than the sum of its proper divisors (22812884283280).

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

11212121102000 is a wasteful number, since it uses less digits than its factorization.

11212121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11212121102000 its reverse (20112121211), we get a palindrome (11232233223211).

The spelling of 11212121102000 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-one million, one hundred two thousand".