100011132012300 has 288 divisors, whose sum is σ = 302211159539520. Its totient is φ = 25510513766400.

The previous prime is 100011132012221. The next prime is 100011132012307. The reversal of 100011132012300 is 3210231110001.

It is a happy number.

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 100011132012300.

It is not an unprimeable number, because it can be changed into a prime (100011132012307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1373799502 + ... + 1373872298.

Almost surely, 2^{100011132012300} is an apocalyptic number.

100011132012300 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 100011132012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151105579769760).

100011132012300 is an abundant number, since it is smaller than the sum of its proper divisors (202200027527220).

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

100011132012300 is a wasteful number, since it uses less digits than its factorization.

100011132012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74941 (or 74934 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100011132012300 its reverse (3210231110001), we get a palindrome (103221363122301).

The spelling of 100011132012300 in words is "one hundred trillion, eleven billion, one hundred thirty-two million, twelve thousand, three hundred".