10001201110200 has 432 divisors, whose sum is σ = 36670582564200. Its totient is φ = 2439489830400.

The previous prime is 10001201110183. The next prime is 10001201110213. The reversal of 10001201110200 is 201110210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 107 ways as a sum of consecutive naturals, for example, 18578835 + ... + 19109565.

Almost surely, 2^{10001201110200} is an apocalyptic number.

10001201110200 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 10001201110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335291282100).

10001201110200 is an abundant number, since it is smaller than the sum of its proper divisors (26669381454000).

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

10001201110200 is a wasteful number, since it uses less digits than its factorization.

10001201110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530820 (or 530789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001201110200 its reverse (201110210001), we get a palindrome (10202311320201).

The spelling of 10001201110200 in words is "ten trillion, one billion, two hundred one million, one hundred ten thousand, two hundred".