11101232122200 has 576 divisors, whose sum is σ = 41823233543520. Its totient is φ = 2615141376000.

The previous prime is 11101232122193. The next prime is 11101232122219. The reversal of 11101232122200 is 222123210111.

11101232122200 is a `hidden beast` number, since 1 + 110 + 1 + 232 + 122 + 200 = 666.

11101232122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 601455372 + ... + 601473828.

Almost surely, 2^{11101232122200} is an apocalyptic number.

11101232122200 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 11101232122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911616771760).

11101232122200 is an abundant number, since it is smaller than the sum of its proper divisors (30722001421320).

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

11101232122200 is a wasteful number, since it uses less digits than its factorization.

11101232122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19348 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11101232122200 its reverse (222123210111), we get a palindrome (11323355332311).

It can be divided in two parts, 1110123 and 2122200, that added together give a palindrome (3232323).

The spelling of 11101232122200 in words is "eleven trillion, one hundred one billion, two hundred thirty-two million, one hundred twenty-two thousand, two hundred".