11012221122100 has 144 divisors (see below), whose sum is σ = 27208905768576. Its totient is φ = 3829416448000.

The previous prime is 11012221122061. The next prime is 11012221122107. The reversal of 11012221122100 is 122112221011.

11012221122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012221122107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109675920 + ... + 109776280.

It is an arithmetic number, because the mean of its divisors is an integer number (188950734504).

Almost surely, 2^{11012221122100} is an apocalyptic number.

11012221122100 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 11012221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604452884288).

11012221122100 is an abundant number, since it is smaller than the sum of its proper divisors (16196684646476).

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

11012221122100 is a wasteful number, since it uses less digits than its factorization.

11012221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104746 (or 104739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11012221122100 its reverse (122112221011), we get a palindrome (11134333343111).

The spelling of 11012221122100 in words is "eleven trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".