3213101321100 has 216 divisors, whose sum is σ = 10988994128112. Its totient is φ = 778782297600.

The previous prime is 3213101321083. The next prime is 3213101321113. The reversal of 3213101321100 is 11231013123.

3213101321100 is a `hidden beast` number, since 3 + 21 + 310 + 1 + 321 + 10 + 0 = 666.

3213101321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55935994 + ... + 55993406.

Almost surely, 2^{3213101321100} is an apocalyptic number.

3213101321100 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 3213101321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494497064056).

3213101321100 is an abundant number, since it is smaller than the sum of its proper divisors (7775892807012).

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

3213101321100 is a wasteful number, since it uses less digits than its factorization.

3213101321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63097 (or 63087 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3213101321100 its reverse (11231013123), we get a palindrome (3224332334223).

The spelling of 3213101321100 in words is "three trillion, two hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, one hundred".