3201021121020 has 192 divisors, whose sum is σ = 9604765537920. Its totient is φ = 793730875392.

The previous prime is 3201021121019. The next prime is 3201021121031. The reversal of 3201021121020 is 201211201023.

It is a super-2 number, since 2×3201021121020² (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 congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36032016 + ... + 36120744.

It is an arithmetic number, because the mean of its divisors is an integer number (50024820510).

Almost surely, 2^{3201021121020} is an apocalyptic number.

3201021121020 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 3201021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802382768960).

3201021121020 is an abundant number, since it is smaller than the sum of its proper divisors (6403744416900).

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

3201021121020 is a wasteful number, since it uses less digits than its factorization.

3201021121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89184 (or 89182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 3201021121020 its reverse (201211201023), we get a palindrome (3402232322043).

The spelling of 3201021121020 in words is "three trillion, two hundred one billion, twenty-one million, one hundred twenty-one thousand, twenty".