11301121203100 has 144 divisors (see below), whose sum is σ = 25207526615040. Its totient is φ = 4395681100800.

The previous prime is 11301121203077. The next prime is 11301121203107. The reversal of 11301121203100 is 130212110311.

It is a happy number.

It is a super-2 number, since 2×11301121203100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301121203107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 497243937 + ... + 497266663.

It is an arithmetic number, because the mean of its divisors is an integer number (175052268160).

Almost surely, 2^{11301121203100} is an apocalyptic number.

11301121203100 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 11301121203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603763307520).

11301121203100 is an abundant number, since it is smaller than the sum of its proper divisors (13906405411940).

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

11301121203100 is a wasteful number, since it uses less digits than its factorization.

11301121203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23468 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11301121203100 its reverse (130212110311), we get a palindrome (11431333313411).

The spelling of 11301121203100 in words is "eleven trillion, three hundred one billion, one hundred twenty-one million, two hundred three thousand, one hundred".