11102200100010 has 48 divisors (see below), whose sum is σ = 28881231561000. Its totient is φ = 2958995790720.

The previous prime is 11102200099909. The next prime is 11102200100027. The reversal of 11102200100010 is 1000100220111.

It is a happy number.

11102200100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6689087350929 + 4413112749081 = 2586327^2 + 2100741^2 .

It is a super-3 number, since 3×11102200100010³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11102200099965 and 11102200100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32975385 + ... + 33310364.

Almost surely, 2^{11102200100010} is an apocalyptic number.

11102200100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102200100010 is an abundant number, since it is smaller than the sum of its proper divisors (17779031460990).

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

11102200100010 is a wasteful number, since it uses less digits than its factorization.

11102200100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66287623 (or 66287620 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102200100010 its reverse (1000100220111), we get a palindrome (12102300320121).

The spelling of 11102200100010 in words is "eleven trillion, one hundred two billion, two hundred million, one hundred thousand, ten".