10202313302120 has 32 divisors (see below), whose sum is σ = 22956093937800. Its totient is φ = 4080767275008.

The previous prime is 10202313302117. The next prime is 10202313302123. The reversal of 10202313302120 is 2120331320201.

It is an interprime number because it is at equal distance from previous prime (10202313302117) and next prime (10202313302123).

It can be written as a sum of positive squares in 4 ways, for example, as 7889705735044 + 2312607567076 = 2808862^2 + 1520726^2 .

It is a super-2 number, since 2×10202313302120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10202313302092 and 10202313302101.

It is not an unprimeable number, because it can be changed into a prime (10202313302123) 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 7 ways as a sum of consecutive naturals, for example, 3890429 + ... + 5961548.

Almost surely, 2^{10202313302120} is an apocalyptic number.

10202313302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202313302120 is an abundant number, since it is smaller than the sum of its proper divisors (12753780635680).

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

10202313302120 is a wasteful number, since it uses less digits than its factorization.

10202313302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877877 (or 9877873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10202313302120 its reverse (2120331320201), we get a palindrome (12322644622321).

The spelling of 10202313302120 in words is "ten trillion, two hundred two billion, three hundred thirteen million, three hundred two thousand, one hundred twenty".