3201320020100 has 72 divisors (see below), whose sum is σ = 7117535464200. Its totient is φ = 1249078758400.

The previous prime is 3201320020097. The next prime is 3201320020111. The reversal of 3201320020100 is 10200231023.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 389178840964 + 2812141179136 = 623842^2 + 1676944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24654146 + ... + 24783654.

It is an arithmetic number, because the mean of its divisors is an integer number (98854659225).

Almost surely, 2^{3201320020100} 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 3201320020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558767732100).

3201320020100 is an abundant number, since it is smaller than the sum of its proper divisors (3916215444100).

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

3201320020100 is a wasteful number, since it uses less digits than its factorization.

3201320020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135593 (or 135586 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 3201320020100 its reverse (10200231023), we get a palindrome (3211520251123).

The spelling of 3201320020100 in words is "three trillion, two hundred one billion, three hundred twenty million, twenty thousand, one hundred".