11157344321100 has 72 divisors (see below), whose sum is σ = 32285381759568. Its totient is φ = 2974972416000.

The previous prime is 11157344321083. The next prime is 11157344321113. The reversal of 11157344321100 is 112344375111.

It is a happy number.

11157344321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809500 + ... + 4792700.

It is an arithmetic number, because the mean of its divisors is an integer number (448408079994).

Almost surely, 2^{11157344321100} is an apocalyptic number.

11157344321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11157344321100 is an abundant number, since it is smaller than the sum of its proper divisors (21128037438468).

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

11157344321100 is a wasteful number, since it uses less digits than its factorization.

11157344321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992555 (or 3992548 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 11157344321100 its reverse (112344375111), we get a palindrome (11269688696211).

The spelling of 11157344321100 in words is "eleven trillion, one hundred fifty-seven billion, three hundred forty-four million, three hundred twenty-one thousand, one hundred".