12201110102120 has 32 divisors (see below), whose sum is σ = 27455319164520. Its totient is φ = 4879942452480.

The previous prime is 12201110102107. The next prime is 12201110102131. The reversal of 12201110102120 is 2120101110221.

It can be written as a sum of positive squares in 4 ways, for example, as 12197179062916 + 3931039204 = 3492446^2 + 62698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12201110102095 and 12201110102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15280451 + ... + 16059090.

Almost surely, 2^{12201110102120} is an apocalyptic number.

12201110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201110102120 is an abundant number, since it is smaller than the sum of its proper divisors (15254209062400).

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

12201110102120 is a wasteful number, since it uses less digits than its factorization.

12201110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31349285 (or 31349281 counting only the distinct ones).

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

Adding to 12201110102120 its reverse (2120101110221), we get a palindrome (14321211212341).

The spelling of 12201110102120 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred two thousand, one hundred twenty".