10112010202120 has 32 divisors (see below), whose sum is σ = 22785630139800. Its totient is φ = 4038829470208.

The previous prime is 10112010202069. The next prime is 10112010202141. The reversal of 10112010202120 is 2120201021101.

It can be written as a sum of positive squares in 4 ways, for example, as 9939630787524 + 172379414596 = 3152718^2 + 415186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10112010202120.

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, 186679165 + ... + 186733324.

Almost surely, 2^{10112010202120} is an apocalyptic number.

10112010202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112010202120 is an abundant number, since it is smaller than the sum of its proper divisors (12673619937680).

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

10112010202120 is a wasteful number, since it uses less digits than its factorization.

10112010202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373413177 (or 373413173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10112010202120 its reverse (2120201021101), we get a palindrome (12232211223221).

The spelling of 10112010202120 in words is "ten trillion, one hundred twelve billion, ten million, two hundred two thousand, one hundred twenty".