11210211011120 has 320 divisors, whose sum is σ = 28839554150400. Its totient is φ = 4018716856320.

The previous prime is 11210211011071. The next prime is 11210211011123. The reversal of 11210211011120 is 2111011201211.

It is a junction number, because it is equal to n+sod(n) for n = 11210211011095 and 11210211011104.

It is not an unprimeable number, because it can be changed into a prime (11210211011123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17167244714 + ... + 17167245366.

It is an arithmetic number, because the mean of its divisors is an integer number (90123606720).

Almost surely, 2^{11210211011120} is an apocalyptic number.

11210211011120 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 11210211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419777075200).

11210211011120 is an abundant number, since it is smaller than the sum of its proper divisors (17629343139280).

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

11210211011120 is a wasteful number, since it uses less digits than its factorization.

11210211011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

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

Adding to 11210211011120 its reverse (2111011201211), we get a palindrome (13321222212331).

The spelling of 11210211011120 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, eleven thousand, one hundred twenty".