11101214120 has 64 divisors (see below), whose sum is σ = 25774232400. Its totient is φ = 4300472320.

The previous prime is 11101214101. The next prime is 11101214141. The reversal of 11101214120 is 2141210111.

11101214120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1824827524 + 9276386596 = 42718^2 + 96314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101214095 and 11101214104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199976 + ... + 249384.

Almost surely, 2^11101214120 is an apocalyptic number.

11101214120 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 11101214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887116200).

11101214120 is an abundant number, since it is smaller than the sum of its proper divisors (14673018280).

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

11101214120 is a wasteful number, since it uses less digits than its factorization.

11101214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49598 (or 49594 counting only the distinct ones).

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

Adding to 11101214120 its reverse (2141210111), we get a palindrome (13242424231).

The spelling of 11101214120 in words is "eleven billion, one hundred one million, two hundred fourteen thousand, one hundred twenty".