10202110130120 has 16 divisors (see below), whose sum is σ = 22954747792860. Its totient is φ = 4080844052032.

The previous prime is 10202110130089. The next prime is 10202110130129. The reversal of 10202110130120 is 2103101120201.

It can be written as a sum of positive squares in 2 ways, for example, as 10171009396804 + 31100733316 = 3189202^2 + 176354^2 .

It is a super-2 number, since 2×10202110130120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202110130095 and 10202110130104.

It is not an unprimeable number, because it can be changed into a prime (10202110130129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127526376587 + ... + 127526376666.

Almost surely, 2^{10202110130120} is an apocalyptic number.

10202110130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202110130120 is an abundant number, since it is smaller than the sum of its proper divisors (12752637662740).

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

10202110130120 is a wasteful number, since it uses less digits than its factorization.

10202110130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255052753264 (or 255052753260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10202110130120 its reverse (2103101120201), we get a palindrome (12305211250321).

The spelling of 10202110130120 in words is "ten trillion, two hundred two billion, one hundred ten million, one hundred thirty thousand, one hundred twenty".