11320220102100 has 432 divisors, whose sum is σ = 42295424919552. Its totient is φ = 2284595089920.

The previous prime is 11320220102039. The next prime is 11320220102111. The reversal of 11320220102100 is 120102202311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11320220102100.

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 143 ways as a sum of consecutive naturals, for example, 7469289 + ... + 8856111.

Almost surely, 2^{11320220102100} is an apocalyptic number.

11320220102100 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 11320220102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147712459776).

11320220102100 is an abundant number, since it is smaller than the sum of its proper divisors (30975204817452).

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

11320220102100 is a wasteful number, since it uses less digits than its factorization.

11320220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386896 (or 1386876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11320220102100 its reverse (120102202311), we get a palindrome (11440322304411).

The spelling of 11320220102100 in words is "eleven trillion, three hundred twenty billion, two hundred twenty million, one hundred two thousand, one hundred".