11011221110120 has 128 divisors (see below), whose sum is σ = 30895293231360. Its totient is φ = 3431327477760.

The previous prime is 11011221110117. The next prime is 11011221110143. The reversal of 11011221110120 is 2101112211011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11011221110095 and 11011221110104.

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, 13959722 + ... + 14727398.

It is an arithmetic number, because the mean of its divisors is an integer number (241369478370).

Almost surely, 2^{11011221110120} is an apocalyptic number.

11011221110120 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 11011221110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447646615680).

11011221110120 is an abundant number, since it is smaller than the sum of its proper divisors (19884072121240).

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

11011221110120 is a wasteful number, since it uses less digits than its factorization.

11011221110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772363 (or 772359 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011221110120 its reverse (2101112211011), we get a palindrome (13112333321131).

It can be divided in two parts, 1101 and 1221110120, that added together give a palindrome (1221111221).

The spelling of 11011221110120 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".