11201122211000 has 128 divisors (see below), whose sum is σ = 26718246360000. Its totient is φ = 4394037312000.

The previous prime is 11201122210963. The next prime is 11201122211017. The reversal of 11201122211000 is 11222110211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24613526 + ... + 25064474.

Almost surely, 2^{11201122211000} is an apocalyptic number.

11201122211000 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 11201122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359123180000).

11201122211000 is an abundant number, since it is smaller than the sum of its proper divisors (15517124149000).

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

11201122211000 is a wasteful number, since it uses less digits than its factorization.

11201122211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451450 (or 451436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201122211000 its reverse (11222110211), we get a palindrome (11212344321211).

The spelling of 11201122211000 in words is "eleven trillion, two hundred one billion, one hundred twenty-two million, two hundred eleven thousand".