10112121022120 has 128 divisors (see below), whose sum is σ = 26200638807840. Its totient is φ = 3479283302400.

The previous prime is 10112121022057. The next prime is 10112121022147. The reversal of 10112121022120 is 2122012121101.

It can be written as a sum of positive squares in 16 ways, for example, as 749536914564 + 9362584107556 = 865758^2 + 3059834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112121022094 and 10112121022103.

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 31 ways as a sum of consecutive naturals, for example, 4770057 + ... + 6555736.

Almost surely, 2^{10112121022120} is an apocalyptic number.

10112121022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121022120 is an abundant number, since it is smaller than the sum of its proper divisors (16088517785720).

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

10112121022120 is a wasteful number, since it uses less digits than its factorization.

10112121022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325935 (or 11325931 counting only the distinct ones).

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

Adding to 10112121022120 its reverse (2122012121101), we get a palindrome (12234133143221).

The spelling of 10112121022120 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".