11102211000120 has 128 divisors (see below), whose sum is σ = 34233203822400. Its totient is φ = 2878351220736.

The previous prime is 11102211000119. The next prime is 11102211000161. The reversal of 11102211000120 is 2100011220111.

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 = 11102211000096 and 11102211000105.

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, 4794726 + ... + 6722634.

Almost surely, 2^{11102211000120} is an apocalyptic number.

11102211000120 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 11102211000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116601911200).

11102211000120 is an abundant number, since it is smaller than the sum of its proper divisors (23130992822280).

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

11102211000120 is a wasteful number, since it uses less digits than its factorization.

11102211000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929257 (or 1929253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102211000120 its reverse (2100011220111), we get a palindrome (13202222220231).

The spelling of 11102211000120 in words is "eleven trillion, one hundred two billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.