2301302221020 has 288 divisors, whose sum is σ = 7695841031424. Its totient is φ = 556606427520.

The previous prime is 2301302220991. The next prime is 2301302221073. The reversal of 2301302221020 is 201222031032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2301302220984 and 2301302221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106123099 + ... + 106144781.

It is an arithmetic number, because the mean of its divisors is an integer number (26721670248).

Almost surely, 2^{2301302221020} is an apocalyptic number.

2301302221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301302221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847920515712).

2301302221020 is an abundant number, since it is smaller than the sum of its proper divisors (5394538810404).

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

2301302221020 is a wasteful number, since it uses less digits than its factorization.

2301302221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22174 (or 22147 counting only the distinct ones).

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

Adding to 2301302221020 its reverse (201222031032), we get a palindrome (2502524252052).

The spelling of 2301302221020 in words is "two trillion, three hundred one billion, three hundred two million, two hundred twenty-one thousand, twenty".