11002210210000 has 100 divisors (see below), whose sum is σ = 26642944881652. Its totient is φ = 4399976448000.

The previous prime is 11002210209877. The next prime is 11002210210037. The reversal of 11002210210000 is 1201220011.

It can be written as a sum of positive squares in 10 ways, for example, as 9615035059344 + 1387175150656 = 3100812^2 + 1177784^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 49459024 + ... + 49680976.

Almost surely, 2^{11002210210000} is an apocalyptic number.

11002210210000 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 11002210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321472440826).

11002210210000 is an abundant number, since it is smaller than the sum of its proper divisors (15640734671652).

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

11002210210000 is an equidigital number, since it uses as much as digits as its factorization.

11002210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226938 (or 226917 counting only the distinct ones).

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

Adding to 11002210210000 its reverse (1201220011), we get a palindrome (11003411430011).

The spelling of 11002210210000 in words is "eleven trillion, two billion, two hundred ten million, two hundred ten thousand".