10011101202200 has 144 divisors (see below), whose sum is σ = 27213389169120. Its totient is φ = 3414953660160.

The previous prime is 10011101202197. The next prime is 10011101202217. The reversal of 10011101202200 is 220210111001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662144 + ... + 4523343.

It is an arithmetic number, because the mean of its divisors is an integer number (188981869230).

Almost surely, 2^{10011101202200} is an apocalyptic number.

10011101202200 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 10011101202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606694584560).

10011101202200 is an abundant number, since it is smaller than the sum of its proper divisors (17202287966920).

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

10011101202200 is a wasteful number, since it uses less digits than its factorization.

10011101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185714 (or 5185698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011101202200 its reverse (220210111001), we get a palindrome (10231311313201).

The spelling of 10011101202200 in words is "ten trillion, eleven billion, one hundred one million, two hundred two thousand, two hundred".