11250121100 has 72 divisors (see below), whose sum is σ = 25513367040. Its totient is φ = 4297775680.

The previous prime is 11250121087. The next prime is 11250121109. The reversal of 11250121100 is 112105211.

It is not an unprimeable number, because it can be changed into a prime (11250121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650299 + ... + 1657101.

It is an arithmetic number, because the mean of its divisors is an integer number (354352320).

Almost surely, 2^11250121100 is an apocalyptic number.

11250121100 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 11250121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756683520).

11250121100 is an abundant number, since it is smaller than the sum of its proper divisors (14263245940).

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

11250121100 is a wasteful number, since it uses less digits than its factorization.

11250121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 11250121100 its reverse (112105211), we get a palindrome (11362226311).

The spelling of 11250121100 in words is "eleven billion, two hundred fifty million, one hundred twenty-one thousand, one hundred".