11205242100 has 216 divisors, whose sum is σ = 37999547040. Its totient is φ = 2745411840.

The previous prime is 11205242021. The next prime is 11205242101. The reversal of 11205242100 is 124250211.

11205242100 is a `hidden beast` number, since 1 + 120 + 524 + 21 + 0 + 0 = 666.

It is a super-2 number, since 2×11205242100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205242101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2653791 + ... + 2658009.

Almost surely, 2^11205242100 is an apocalyptic number.

11205242100 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 11205242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18999773520).

11205242100 is an abundant number, since it is smaller than the sum of its proper divisors (26794304940).

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

11205242100 is a wasteful number, since it uses less digits than its factorization.

11205242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11205242100 its reverse (124250211), we get a palindrome (11329492311).

The spelling of 11205242100 in words is "eleven billion, two hundred five million, two hundred forty-two thousand, one hundred".