11102000210010 has 48 divisors (see below), whose sum is σ = 29645341110216. Its totient is φ = 2880518972544.

The previous prime is 11102000210009. The next prime is 11102000210017. The reversal of 11102000210010 is 1001200020111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10668800613969 + 433199596041 = 3266313^2 + 658179^2 .

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 = 11102000209974 and 11102000210001.

It is not an unprimeable number, because it can be changed into a prime (11102000210017) by changing a digit.

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, 1666963669 + ... + 1666970328.

Almost surely, 2^{11102000210010} is an apocalyptic number.

11102000210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102000210010 is an abundant number, since it is smaller than the sum of its proper divisors (18543340900206).

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

11102000210010 is a wasteful number, since it uses less digits than its factorization.

11102000210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333934047 (or 3333934044 counting only the distinct ones).

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

Adding to 11102000210010 its reverse (1001200020111), we get a palindrome (12103200230121).

The spelling of 11102000210010 in words is "eleven trillion, one hundred two billion, two hundred ten thousand, ten".