11001210010200 has 768 divisors, whose sum is σ = 40448232576000. Its totient is φ = 2738727936000.

The previous prime is 11001210010199. The next prime is 11001210010201. The reversal of 11001210010200 is 201001210011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11001210010199) and next prime (11001210010201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001210010201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10368717670 + ... + 10368718730.

It is an arithmetic number, because the mean of its divisors is an integer number (52666969500).

Almost surely, 2^{11001210010200} is an apocalyptic number.

11001210010200 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 11001210010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224116288000).

11001210010200 is an abundant number, since it is smaller than the sum of its proper divisors (29447022565800).

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

11001210010200 is a wasteful number, since it uses less digits than its factorization.

11001210010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

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

Adding to 11001210010200 its reverse (201001210011), we get a palindrome (11202211220211).

The spelling of 11001210010200 in words is "eleven trillion, one billion, two hundred ten million, ten thousand, two hundred".