12101122210120 has 64 divisors (see below), whose sum is σ = 27299845776240. Its totient is φ = 4827595776000.

The previous prime is 12101122210103. The next prime is 12101122210129. The reversal of 12101122210120 is 2101222110121.

It can be written as a sum of positive squares in 8 ways, for example, as 7787035356676 + 4314086853444 = 2790526^2 + 2077038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12101122210094 and 12101122210103.

It is not an unprimeable number, because it can be changed into a prime (12101122210129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104538994 + ... + 104654686.

Almost surely, 2^{12101122210120} is an apocalyptic number.

12101122210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101122210120 is an abundant number, since it is smaller than the sum of its proper divisors (15198723566120).

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

12101122210120 is a wasteful number, since it uses less digits than its factorization.

12101122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122626 (or 122622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12101122210120 its reverse (2101222110121), we get a palindrome (14202344320241).

Subtracting from 12101122210120 its reverse (2101222110121), we obtain a palindrome (9999900099999).

It can be divided in two parts, 12101 and 122210120, that added together give a palindrome (122222221).

The spelling of 12101122210120 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".