11002220100 has 216 divisors, whose sum is σ = 36642420360. Its totient is φ = 2755952640.

The previous prime is 11002220087. The next prime is 11002220107. The reversal of 11002220100 is 102220011.

It can be written as a sum of positive squares in 12 ways, for example, as 306110016 + 10696110084 = 17496^2 + 103422^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11002220107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 960004 + ... + 971396.

It is an arithmetic number, because the mean of its divisors is an integer number (169640835).

Almost surely, 2^11002220100 is an apocalyptic number.

11002220100 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 11002220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321210180).

11002220100 is an abundant number, since it is smaller than the sum of its proper divisors (25640200260).

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

11002220100 is a wasteful number, since it uses less digits than its factorization.

11002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11469 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11002220100 its reverse (102220011), we get a palindrome (11104440111).

The spelling of 11002220100 in words is "eleven billion, two million, two hundred twenty thousand, one hundred".