11020011202200 has 1152 divisors, whose sum is σ = 47949463537920. Its totient is φ = 2056571596800.

The previous prime is 11020011202183. The next prime is 11020011202231. The reversal of 11020011202200 is 220211002011.

It is a super-2 number, since 2×11020011202200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155519979 + ... + 155590821.

It is an arithmetic number, because the mean of its divisors is an integer number (41622798210).

Almost surely, 2^{11020011202200} is an apocalyptic number.

11020011202200 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 11020011202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974731768960).

11020011202200 is an abundant number, since it is smaller than the sum of its proper divisors (36929452335720).

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

11020011202200 is a wasteful number, since it uses less digits than its factorization.

11020011202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70937 (or 70921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020011202200 its reverse (220211002011), we get a palindrome (11240222204211).

It can be divided in two parts, 11020011 and 202200, that added together give a palindrome (11222211).

The spelling of 11020011202200 in words is "eleven trillion, twenty billion, eleven million, two hundred two thousand, two hundred".