11211220201110 has 128 divisors (see below), whose sum is σ = 28241272442880. Its totient is φ = 2842929910656.

The previous prime is 11211220201079. The next prime is 11211220201117. The reversal of 11211220201110 is 1110202211211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11211220201110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211220201117) 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, 561589989 + ... + 561609951.

It is an arithmetic number, because the mean of its divisors is an integer number (220634940960).

Almost surely, 2^{11211220201110} is an apocalyptic number.

11211220201110 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 11211220201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120636221440).

11211220201110 is an abundant number, since it is smaller than the sum of its proper divisors (17030052241770).

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

11211220201110 is a wasteful number, since it uses less digits than its factorization.

11211220201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24722.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211220201110 its reverse (1110202211211), we get a palindrome (12321422412321).

The spelling of 11211220201110 in words is "eleven trillion, two hundred eleven billion, two hundred twenty million, two hundred one thousand, one hundred ten".