11302100301100 has 288 divisors, whose sum is σ = 28983100962816. Its totient is φ = 3744616780800.

The previous prime is 11302100301083. The next prime is 11302100301179. The reversal of 11302100301100 is 110300120311.

It is a super-2 number, since 2×11302100301100² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7139670909 + ... + 7139672491.

It is an arithmetic number, because the mean of its divisors is an integer number (100635767232).

Almost surely, 2^{11302100301100} is an apocalyptic number.

11302100301100 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 11302100301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491550481408).

11302100301100 is an abundant number, since it is smaller than the sum of its proper divisors (17681000661716).

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

11302100301100 is a wasteful number, since it uses less digits than its factorization.

11302100301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11302100301100 its reverse (110300120311), we get a palindrome (11412400421411).

The spelling of 11302100301100 in words is "eleven trillion, three hundred two billion, one hundred million, three hundred one thousand, one hundred".