11201122002210 has 128 divisors (see below), whose sum is σ = 31307467935744. Its totient is φ = 2511571795200.

The previous prime is 11201122002181. The next prime is 11201122002227. The reversal of 11201122002210 is 1220022110211.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11201122002210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77470485 + ... + 77614935.

It is an arithmetic number, because the mean of its divisors is an integer number (244589593248).

Almost surely, 2^{11201122002210} is an apocalyptic number.

11201122002210 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 11201122002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653733967872).

11201122002210 is an abundant number, since it is smaller than the sum of its proper divisors (20106345933534).

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

11201122002210 is a wasteful number, since it uses less digits than its factorization.

11201122002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151488.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11201122002210 its reverse (1220022110211), we get a palindrome (12421144112421).

The spelling of 11201122002210 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, two thousand, two hundred ten".