11002221010100 has 72 divisors (see below), whose sum is σ = 24116341877208. Its totient is φ = 4356465971200.

The previous prime is 11002221010051. The next prime is 11002221010127. The reversal of 11002221010100 is 101012220011.

It can be written as a sum of positive squares in 12 ways, for example, as 9624724435876 + 1377496574224 = 3102374^2 + 1173668^2 .

It is a congruent number.

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, 8395280 + ... + 9616920.

It is an arithmetic number, because the mean of its divisors is an integer number (334949192739).

Almost surely, 2^{11002221010100} is an apocalyptic number.

11002221010100 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 11002221010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058170938604).

11002221010100 is an abundant number, since it is smaller than the sum of its proper divisors (13114120867108).

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

11002221010100 is a wasteful number, since it uses less digits than its factorization.

11002221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222565 (or 1222558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11002221010100 its reverse (101012220011), we get a palindrome (11103233230111).

The spelling of 11002221010100 in words is "eleven trillion, two billion, two hundred twenty-one million, ten thousand, one hundred".