11102201011110 has 96 divisors (see below), whose sum is σ = 29327103606528. Its totient is φ = 2667623580160.

The previous prime is 11102201011003. The next prime is 11102201011141. The reversal of 11102201011110 is 1111010220111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2896399 + ... + 5531141.

It is an arithmetic number, because the mean of its divisors is an integer number (305490662568).

Almost surely, 2^{11102201011110} is an apocalyptic number.

11102201011110 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 11102201011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663551803264).

11102201011110 is an abundant number, since it is smaller than the sum of its proper divisors (18224902595418).

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

11102201011110 is a wasteful number, since it uses less digits than its factorization.

11102201011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634990 (or 2634877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11102201011110 its reverse (1111010220111), we get a palindrome (12213211231221).

The spelling of 11102201011110 in words is "eleven trillion, one hundred two billion, two hundred one million, eleven thousand, one hundred ten".