11212121210000 has 100 divisors (see below), whose sum is σ = 27450676331100. Its totient is φ = 4434456576000.

The previous prime is 11212121209999. The next prime is 11212121210021. The reversal of 11212121210000 is 1212121211.

It can be written as a sum of positive squares in 10 ways, for example, as 10066253725696 + 1145867484304 = 3172736^2 + 1070452^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5408945 + ... + 7188944.

It is an arithmetic number, because the mean of its divisors is an integer number (274506763311).

Almost surely, 2^{11212121210000} is an apocalyptic number.

11212121210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212121210000 is an abundant number, since it is smaller than the sum of its proper divisors (16238555121100).

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

11212121210000 is an equidigital number, since it uses as much as digits as its factorization.

11212121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598006 (or 12597985 counting only the distinct ones).

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

Adding to 11212121210000 its reverse (1212121211), we get a palindrome (11213333331211).

The spelling of 11212121210000 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-one million, two hundred ten thousand".