11211200201010 has 128 divisors (see below), whose sum is σ = 28090537896960. Its totient is φ = 2861276334336.

The previous prime is 11211200200957. The next prime is 11211200201017. The reversal of 11211200201010 is 1010200211211.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11211200201017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23125864 + ... + 23605676.

It is an arithmetic number, because the mean of its divisors is an integer number (219457327320).

Almost surely, 2^{11211200201010} is an apocalyptic number.

11211200201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211200201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045268948480).

11211200201010 is an abundant number, since it is smaller than the sum of its proper divisors (16879337695950).

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

11211200201010 is a wasteful number, since it uses less digits than its factorization.

11211200201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480232.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211200201010 its reverse (1010200211211), we get a palindrome (12221400412221).

The spelling of 11211200201010 in words is "eleven trillion, two hundred eleven billion, two hundred million, two hundred one thousand, ten".