11102220100100 has 72 divisors (see below), whose sum is σ = 24699385237128. Its totient is φ = 4329069235200.

The previous prime is 11102220100067. The next prime is 11102220100151. The reversal of 11102220100100 is 100102220111.

It can be written as a sum of positive squares in 12 ways, for example, as 5035033356544 + 6067186743556 = 2243888^2 + 2463166^2 .

It is an unprimeable number.

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, 3977174 + ... + 6166226.

Almost surely, 2^{11102220100100} is an apocalyptic number.

11102220100100 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 11102220100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349692618564).

11102220100100 is an abundant number, since it is smaller than the sum of its proper divisors (13597165137028).

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

11102220100100 is a wasteful number, since it uses less digits than its factorization.

11102220100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190345 (or 2190338 counting only the distinct ones).

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

Adding to 11102220100100 its reverse (100102220111), we get a palindrome (11202322320211).

The spelling of 11102220100100 in words is "eleven trillion, one hundred two billion, two hundred twenty million, one hundred thousand, one hundred".