3001021020420 has 144 divisors (see below), whose sum is σ = 8937135079488. Its totient is φ = 752276449280.

The previous prime is 3001021020407. The next prime is 3001021020443. The reversal of 3001021020420 is 240201201003.

3001021020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3001021020420² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3001021020420.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14130739 + ... + 14341541.

It is an arithmetic number, because the mean of its divisors is an integer number (62063438052).

Almost surely, 2^{3001021020420} is an apocalyptic number.

3001021020420 is a gapful number since it is divisible by the number (30) 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 3001021020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468567539744).

3001021020420 is an abundant number, since it is smaller than the sum of its proper divisors (5936114059068).

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

3001021020420 is a wasteful number, since it uses less digits than its factorization.

3001021020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211670 (or 211651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3001021020420 its reverse (240201201003), we get a palindrome (3241222221423).

The spelling of 3001021020420 in words is "three trillion, one billion, twenty-one million, twenty thousand, four hundred twenty".