11302002100 has 72 divisors (see below), whose sum is σ = 24896531520. Its totient is φ = 4452718080.

The previous prime is 11302002097. The next prime is 11302002139. The reversal of 11302002100 is 120020311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2977804 + ... + 2981596.

It is an arithmetic number, because the mean of its divisors is an integer number (345785160).

Almost surely, 2^11302002100 is an apocalyptic number.

11302002100 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 11302002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448265760).

11302002100 is an abundant number, since it is smaller than the sum of its proper divisors (13594529420).

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

11302002100 is a wasteful number, since it uses less digits than its factorization.

11302002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11302002100 its reverse (120020311), we get a palindrome (11422022411).

The spelling of 11302002100 in words is "eleven billion, three hundred two million, two thousand, one hundred".