11113010122200 has 384 divisors, whose sum is σ = 39508328448000. Its totient is φ = 2531321856000.

The previous prime is 11113010122189. The next prime is 11113010122223. The reversal of 11113010122200 is 222101031111.

It is a super-2 number, since 2×11113010122200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11113010122200.

It is a congruent number.

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, 2170931241 + ... + 2170936359.

It is an arithmetic number, because the mean of its divisors is an integer number (102886272000).

Almost surely, 2^{11113010122200} is an apocalyptic number.

11113010122200 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 11113010122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754164224000).

11113010122200 is an abundant number, since it is smaller than the sum of its proper divisors (28395318325800).

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

11113010122200 is a wasteful number, since it uses less digits than its factorization.

11113010122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11113010122200 its reverse (222101031111), we get a palindrome (11335111153311).

The spelling of 11113010122200 in words is "eleven trillion, one hundred thirteen billion, ten million, one hundred twenty-two thousand, two hundred".