3200102120020 has 96 divisors (see below), whose sum is σ = 7414626675456. Its totient is φ = 1152608486400.

The previous prime is 3200102119987. The next prime is 3200102120071. The reversal of 3200102120020 is 200212010023.

3200102120020 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-3 number, since 3×3200102120020³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114165247 + ... + 114193273.

It is an arithmetic number, because the mean of its divisors is an integer number (77235694536).

Almost surely, 2^{3200102120020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200102120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707313337728).

3200102120020 is an abundant number, since it is smaller than the sum of its proper divisors (4214524555436).

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

3200102120020 is a wasteful number, since it uses less digits than its factorization.

3200102120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38801 (or 38799 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 3200102120020 its reverse (200212010023), we get a palindrome (3400314130043).

The spelling of 3200102120020 in words is "three trillion, two hundred billion, one hundred two million, one hundred twenty thousand, twenty".