11101220210120 has 32 divisors (see below), whose sum is σ = 24980269113720. Its totient is φ = 4440039436800.

The previous prime is 11101220210089. The next prime is 11101220210183. The reversal of 11101220210120 is 2101202210111.

It can be written as a sum of positive squares in 4 ways, for example, as 10087014112036 + 1014206098084 = 3176006^2 + 1007078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101220210095 and 11101220210104.

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 7 ways as a sum of consecutive naturals, for example, 13619237 + ... + 14411316.

Almost surely, 2^{11101220210120} is an apocalyptic number.

11101220210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101220210120 is an abundant number, since it is smaller than the sum of its proper divisors (13879048903600).

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

11101220210120 is a wasteful number, since it uses less digits than its factorization.

11101220210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28040465 (or 28040461 counting only the distinct ones).

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

Adding to 11101220210120 its reverse (2101202210111), we get a palindrome (13202422420231).

Subtracting from 11101220210120 its reverse (2101202210111), we obtain a square (9000018000009 = 3000003²).

The spelling of 11101220210120 in words is "eleven trillion, one hundred one billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".