11101324535400 has 192 divisors, whose sum is σ = 37550366622720. Its totient is φ = 2690677830400.

The previous prime is 11101324535377. The next prime is 11101324535443. The reversal of 11101324535400 is 453542310111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32453659 + ... + 32793941.

It is an arithmetic number, because the mean of its divisors is an integer number (195574826160).

Almost surely, 2^{11101324535400} is an apocalyptic number.

11101324535400 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 11101324535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775183311360).

11101324535400 is an abundant number, since it is smaller than the sum of its proper divisors (26449042087320).

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

11101324535400 is a wasteful number, since it uses less digits than its factorization.

11101324535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345256 (or 345247 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11101324535400 its reverse (453542310111), we get a palindrome (11554866845511).

The spelling of 11101324535400 in words is "eleven trillion, one hundred one billion, three hundred twenty-four million, five hundred thirty-five thousand, four hundred".