10112122012120 has 32 divisors (see below), whose sum is σ = 22754419294320. Its totient is φ = 4044467512960.

The previous prime is 10112122012117. The next prime is 10112122012163. The reversal of 10112122012120 is 2121022121101.

It is a junction number, because it is equal to n+sod(n) for n = 10112122012094 and 10112122012103.

It is a congruent number.

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, 11485546 + ... + 12334585.

Almost surely, 2^{10112122012120} is an apocalyptic number.

10112122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112122012120 is an abundant number, since it is smaller than the sum of its proper divisors (12642297282200).

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

10112122012120 is a wasteful number, since it uses less digits than its factorization.

10112122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23830755 (or 23830751 counting only the distinct ones).

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

Adding to 10112122012120 its reverse (2121022121101), we get a palindrome (12233144133221).

The spelling of 10112122012120 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty".