11011111202120 has 32 divisors (see below), whose sum is σ = 24911878675320. Its totient is φ = 4380110530560.

The previous prime is 11011111202071. The next prime is 11011111202129. The reversal of 11011111202120 is 2120211111011.

It can be written as a sum of positive squares in 4 ways, for example, as 5939544145924 + 5071567056196 = 2437118^2 + 2252014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11011111202095 and 11011111202104.

It is not an unprimeable number, because it can be changed into a prime (11011111202129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760428617 + ... + 760443096.

Almost surely, 2^{11011111202120} is an apocalyptic number.

11011111202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011111202120 is an abundant number, since it is smaller than the sum of its proper divisors (13900767473200).

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

11011111202120 is a wasteful number, since it uses less digits than its factorization.

11011111202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520871905 (or 1520871901 counting only the distinct ones).

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

Adding to 11011111202120 its reverse (2120211111011), we get a palindrome (13131322313131).

The spelling of 11011111202120 in words is "eleven trillion, eleven billion, one hundred eleven million, two hundred two thousand, one hundred twenty".