11102200120 has 96 divisors (see below), whose sum is σ = 27500356800. Its totient is φ = 4030836480.

The previous prime is 11102200117. The next prime is 11102200127. The reversal of 11102200120 is 2100220111.

It is a super-3 number, since 3×11102200120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11102200097 and 11102200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102200127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4010977 + ... + 4013743.

It is an arithmetic number, because the mean of its divisors is an integer number (286462050).

Almost surely, 2^11102200120 is an apocalyptic number.

11102200120 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 11102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750178400).

11102200120 is an abundant number, since it is smaller than the sum of its proper divisors (16398156680).

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

11102200120 is a wasteful number, since it uses less digits than its factorization.

11102200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11102200120 its reverse (2100220111), we get a palindrome (13202420231).

The spelling of 11102200120 in words is "eleven billion, one hundred two million, two hundred thousand, one hundred twenty".