11121011210000 has 200 divisors, whose sum is σ = 28516271297184. Its totient is φ = 4185652480000.

The previous prime is 11121011209829. The next prime is 11121011210053. The reversal of 11121011210000 is 1211012111.

11121011210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1021864559 + ... + 1021875441.

Almost surely, 2^{11121011210000} is an apocalyptic number.

11121011210000 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 11121011210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258135648592).

11121011210000 is an abundant number, since it is smaller than the sum of its proper divisors (17395260087184).

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

11121011210000 is a wasteful number, since it uses less digits than its factorization.

11121011210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939 (or 16918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11121011210000 its reverse (1211012111), we get a palindrome (11122222222111).

The spelling of 11121011210000 in words is "eleven trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand".