11220111022100 has 36 divisors (see below), whose sum is σ = 24502721467644. Its totient is φ = 4459458132480.

The previous prime is 11220111022097. The next prime is 11220111022139. The reversal of 11220111022100 is 122011102211.

It can be written as a sum of positive squares in 6 ways, for example, as 3927237939076 + 7292873083024 = 1981726^2 + 2700532^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 357312677 + ... + 357344076.

It is an arithmetic number, because the mean of its divisors is an integer number (680631151879).

Almost surely, 2^{11220111022100} is an apocalyptic number.

11220111022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220111022100 is an abundant number, since it is smaller than the sum of its proper divisors (13282610445544).

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

11220111022100 is a wasteful number, since it uses less digits than its factorization.

11220111022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714656924 (or 714656917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11220111022100 its reverse (122011102211), we get a palindrome (11342122124311).

The spelling of 11220111022100 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, twenty-two thousand, one hundred".