10120000210120 has 32 divisors (see below), whose sum is σ = 22775941334520. Its totient is φ = 4046943930880.

The previous prime is 10120000210109. The next prime is 10120000210147. The reversal of 10120000210120 is 2101200002101.

It can be written as a sum of positive squares in 4 ways, for example, as 7355887806276 + 2764112403844 = 2712174^2 + 1662562^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10120000210097 and 10120000210106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32849551 + ... + 33156190.

Almost surely, 2^{10120000210120} is an apocalyptic number.

10120000210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120000210120 is an abundant number, since it is smaller than the sum of its proper divisors (12655941124400).

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

10120000210120 is a wasteful number, since it uses less digits than its factorization.

10120000210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66009585 (or 66009581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120000210120 its reverse (2101200002101), we get a palindrome (12221200212221).

The spelling of 10120000210120 in words is "ten trillion, one hundred twenty billion, two hundred ten thousand, one hundred twenty".