11002211120010 has 128 divisors (see below), whose sum is σ = 29177263964160. Its totient is φ = 2632822732800.

The previous prime is 11002211119997. The next prime is 11002211120011. The reversal of 11002211120010 is 1002111220011.

It is not an unprimeable number, because it can be changed into a prime (11002211120011) 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 63 ways as a sum of consecutive naturals, for example, 116303130 + ... + 116397690.

It is an arithmetic number, because the mean of its divisors is an integer number (227947374720).

Almost surely, 2^{11002211120010} is an apocalyptic number.

11002211120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002211120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588631982080).

11002211120010 is an abundant number, since it is smaller than the sum of its proper divisors (18175052844150).

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

11002211120010 is a wasteful number, since it uses less digits than its factorization.

11002211120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99124.

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

Adding to 11002211120010 its reverse (1002111220011), we get a palindrome (12004322340021).

The spelling of 11002211120010 in words is "eleven trillion, two billion, two hundred eleven million, one hundred twenty thousand, ten".