11102202120 has 128 divisors (see below), whose sum is σ = 34789616640. Its totient is φ = 2829024000.

The previous prime is 11102202119. The next prime is 11102202127. The reversal of 11102202120 is 2120220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102202096 and 11102202105.

It is not an unprimeable number, because it can be changed into a prime (11102202127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4930995 + ... + 4933245.

It is an arithmetic number, because the mean of its divisors is an integer number (271793880).

Almost surely, 2^11102202120 is an apocalyptic number.

11102202120 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 11102202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394808320).

11102202120 is an abundant number, since it is smaller than the sum of its proper divisors (23687414520).

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

11102202120 is a wasteful number, since it uses less digits than its factorization.

11102202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102202120 its reverse (2120220111), we get a palindrome (13222422231).

The spelling of 11102202120 in words is "eleven billion, one hundred two million, two hundred two thousand, one hundred twenty".