11102000012200 has 96 divisors (see below), whose sum is σ = 26495058415320. Its totient is φ = 4324752000000.

The previous prime is 11102000012197. The next prime is 11102000012251. The reversal of 11102000012200 is 221000020111.

It can be written as a sum of positive squares in 12 ways, for example, as 1747932544836 + 9354067467364 = 1322094^2 + 3058442^2 .

It is a super-3 number, since 3×11102000012200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272751 + ... + 5737150.

Almost surely, 2^{11102000012200} is an apocalyptic number.

11102000012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102000012200 is an abundant number, since it is smaller than the sum of its proper divisors (15393058403120).

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

11102000012200 is a wasteful number, since it uses less digits than its factorization.

11102000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010079 (or 9010070 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11102000012200 its reverse (221000020111), we get a palindrome (11323000032311).

The spelling of 11102000012200 in words is "eleven trillion, one hundred two billion, twelve thousand, two hundred".