11102320112100 has 144 divisors (see below), whose sum is σ = 36726915326976. Its totient is φ = 2536619472000.

The previous prime is 11102320112077. The next prime is 11102320112123. The reversal of 11102320112100 is 121102320111.

11102320112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102320112077) and next prime (11102320112123).

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 11102320112100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3966705 + ... + 6159495.

It is an arithmetic number, because the mean of its divisors is an integer number (255048023104).

Almost surely, 2^{11102320112100} is an apocalyptic number.

11102320112100 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 11102320112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363457663488).

11102320112100 is an abundant number, since it is smaller than the sum of its proper divisors (25624595214876).

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

11102320112100 is a wasteful number, since it uses less digits than its factorization.

11102320112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195226 (or 2195219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11102320112100 its reverse (121102320111), we get a palindrome (11223422432211).

The spelling of 11102320112100 in words is "eleven trillion, one hundred two billion, three hundred twenty million, one hundred twelve thousand, one hundred".