100011332110200 has 768 divisors, whose sum is σ = 372668719104000. Its totient is φ = 21692757166080.

The previous prime is 100011332110133. The next prime is 100011332110213. The reversal of 100011332110200 is 2011233110001.

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 100011332110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6831834481 + ... + 6831849119.

It is an arithmetic number, because the mean of its divisors is an integer number (485245728000).

Almost surely, 2^{100011332110200} is an apocalyptic number.

100011332110200 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 100011332110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186334359552000).

100011332110200 is an abundant number, since it is smaller than the sum of its proper divisors (272657386993800).

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

100011332110200 is a wasteful number, since it uses less digits than its factorization.

100011332110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15235 counting only the distinct ones).

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

Adding to 100011332110200 its reverse (2011233110001), we get a palindrome (102022565220201).

The spelling of 100011332110200 in words is "one hundred trillion, eleven billion, three hundred thirty-two million, one hundred ten thousand, two hundred".