11011112102120 has 192 divisors, whose sum is σ = 28468271145600. Its totient is φ = 3822958064640.

The previous prime is 11011112102101. The next prime is 11011112102147. The reversal of 11011112102120 is 2120121111011.

It is a junction number, because it is equal to n+sod(n) for n = 11011112102095 and 11011112102104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8573150 + ... + 9773490.

It is an arithmetic number, because the mean of its divisors is an integer number (148272245550).

Almost surely, 2^{11011112102120} is an apocalyptic number.

11011112102120 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 11011112102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234135572800).

11011112102120 is an abundant number, since it is smaller than the sum of its proper divisors (17457159043480).

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

11011112102120 is a wasteful number, since it uses less digits than its factorization.

11011112102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200460 (or 1200443 counting only the distinct ones).

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

Adding to 11011112102120 its reverse (2120121111011), we get a palindrome (13131233213131).

The spelling of 11011112102120 in words is "eleven trillion, eleven billion, one hundred twelve million, one hundred two thousand, one hundred twenty".