100011311132200 has 96 divisors (see below), whose sum is σ = 250471240923960. Its totient is φ = 36918655488000.

The previous prime is 100011311132179. The next prime is 100011311132233. The reversal of 100011311132200 is 2231113110001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4599557936964 + 95411753195236 = 2144658^2 + 9767894^2 .

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, 6696300 + ... + 15648100.

Almost surely, 2^{100011311132200} is an apocalyptic number.

100011311132200 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 100011311132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125235620461980).

100011311132200 is an abundant number, since it is smaller than the sum of its proper divisors (150459929791760).

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

100011311132200 is a wasteful number, since it uses less digits than its factorization.

100011311132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956127 (or 8956118 counting only the distinct ones).

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

Adding to 100011311132200 its reverse (2231113110001), we get a palindrome (102242424242201).

The spelling of 100011311132200 in words is "one hundred trillion, eleven billion, three hundred eleven million, one hundred thirty-two thousand, two hundred".