11021010112200 has 288 divisors, whose sum is σ = 39529908986400. Its totient is φ = 2531140761600.

The previous prime is 11021010112187. The next prime is 11021010112213. The reversal of 11021010112200 is 221101012011.

It is an interprime number because it is at equal distance from previous prime (11021010112187) and next prime (11021010112213).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2615457 + ... + 5374256.

It is an arithmetic number, because the mean of its divisors is an integer number (137256628425).

Almost surely, 2^{11021010112200} is an apocalyptic number.

11021010112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021010112200 is an abundant number, since it is smaller than the sum of its proper divisors (28508898874200).

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

11021010112200 is a wasteful number, since it uses less digits than its factorization.

11021010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989773 (or 7989753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11021010112200 its reverse (221101012011), we get a palindrome (11242111124211).

The spelling of 11021010112200 in words is "eleven trillion, twenty-one billion, ten million, one hundred twelve thousand, two hundred".