10120212120 has 64 divisors (see below), whose sum is σ = 30661273440. Its totient is φ = 2672000000.

The previous prime is 10120212119. The next prime is 10120212127. The reversal of 10120212120 is 2121202101.

10120212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10120212096 and 10120212105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120212127) 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, 405381 + ... + 429620.

Almost surely, 2^10120212120 is an apocalyptic number.

10120212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120212120 is an abundant number, since it is smaller than the sum of its proper divisors (20541061320).

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

10120212120 is a wasteful number, since it uses less digits than its factorization.

10120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835116 (or 835112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120212120 its reverse (2121202101), we get a palindrome (12241414221).

The spelling of 10120212120 in words is "ten billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".