11355411100 has 72 divisors (see below), whose sum is σ = 27808376400. Its totient is φ = 3986841600.

The previous prime is 11355411091. The next prime is 11355411143. The reversal of 11355411100 is 111455311.

11355411100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11355411100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146085 + ... + 209884.

It is an arithmetic number, because the mean of its divisors is an integer number (386227450).

Almost surely, 2^11355411100 is an apocalyptic number.

11355411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11355411100 is an abundant number, since it is smaller than the sum of its proper divisors (16452965300).

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

11355411100 is a wasteful number, since it uses less digits than its factorization.

11355411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356023 (or 356016 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 11355411100 its reverse (111455311), we get a palindrome (11466866411).

The spelling of 11355411100 in words is "eleven billion, three hundred fifty-five million, four hundred eleven thousand, one hundred".