11012220202100 has 144 divisors (see below), whose sum is σ = 26913452428800. Its totient is φ = 3880598937600.

The previous prime is 11012220202091. The next prime is 11012220202129. The reversal of 11012220202100 is 120202221011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13014965 + ... + 13835235.

It is an arithmetic number, because the mean of its divisors is an integer number (186898975200).

Almost surely, 2^{11012220202100} is an apocalyptic number.

11012220202100 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 11012220202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456726214400).

11012220202100 is an abundant number, since it is smaller than the sum of its proper divisors (15901232226700).

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

11012220202100 is a wasteful number, since it uses less digits than its factorization.

11012220202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820770 (or 820763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11012220202100 its reverse (120202221011), we get a palindrome (11132422423111).

The spelling of 11012220202100 in words is "eleven trillion, twelve billion, two hundred twenty million, two hundred two thousand, one hundred".