11121112101000 has 128 divisors (see below), whose sum is σ = 37852221663360. Its totient is φ = 2696027168000.

The previous prime is 11121112100999. The next prime is 11121112101007. The reversal of 11121112101000 is 10121112111.

11121112101000 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 (12).

It is not an unprimeable number, because it can be changed into a prime (11121112101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168468699 + ... + 168534698.

It is an arithmetic number, because the mean of its divisors is an integer number (295720481745).

Almost surely, 2^{11121112101000} is an apocalyptic number.

11121112101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121112101000 is an abundant number, since it is smaller than the sum of its proper divisors (26731109562360).

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

11121112101000 is a wasteful number, since it uses less digits than its factorization.

11121112101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337003432 (or 337003418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11121112101000 its reverse (10121112111), we get a palindrome (11131233213111).

The spelling of 11121112101000 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, one hundred one thousand".