2010220302321 has 72 divisors (see below), whose sum is σ = 3685162635648. Its totient is φ = 1044162504000.

The previous prime is 2010220302319. The next prime is 2010220302331. The reversal of 2010220302321 is 1232030220102.

2010220302321 is a `hidden beast` number, since 20 + 1 + 0 + 2 + 20 + 302 + 321 = 666.

It is not a de Polignac number, because 2010220302321 - 2¹ = 2010220302319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2010220302294 and 2010220302303.

It is not an unprimeable number, because it can be changed into a prime (2010220302331) 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 71 ways as a sum of consecutive naturals, for example, 71931211 + ... + 71959151.

It is an arithmetic number, because the mean of its divisors is an integer number (51182814384).

Almost surely, 2^{2010220302321} is an apocalyptic number.

2010220302321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010220302321 is a deficient number, since it is larger than the sum of its proper divisors (1674942333327).

2010220302321 is a wasteful number, since it uses less digits than its factorization.

2010220302321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42803 (or 42793 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2010220302321 its reverse (1232030220102), we get a palindrome (3242250522423).

The spelling of 2010220302321 in words is "two trillion, ten billion, two hundred twenty million, three hundred two thousand, three hundred twenty-one".