11223102320100 has 288 divisors, whose sum is σ = 39364879236480. Its totient is φ = 2720429568000.

The previous prime is 11223102320093. The next prime is 11223102320113. The reversal of 11223102320100 is 102320132211.

11223102320100 is a `hidden beast` number, since 1 + 1 + 22 + 310 + 2 + 320 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334791340 + ... + 334824860.

It is an arithmetic number, because the mean of its divisors is an integer number (136683608460).

Almost surely, 2^{11223102320100} is an apocalyptic number.

11223102320100 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 11223102320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682439618240).

11223102320100 is an abundant number, since it is smaller than the sum of its proper divisors (28141776916380).

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

11223102320100 is a wasteful number, since it uses less digits than its factorization.

11223102320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44828 (or 44815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11223102320100 its reverse (102320132211), we get a palindrome (11325422452311).

The spelling of 11223102320100 in words is "eleven trillion, two hundred twenty-three billion, one hundred two million, three hundred twenty thousand, one hundred".