3221012100 has 144 divisors (see below), whose sum is σ = 9947363328. Its totient is φ = 801884160.

The previous prime is 3221012077. The next prime is 3221012101. The reversal of 3221012100 is 12101223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3221012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645214 + ... + 650186.

It is an arithmetic number, because the mean of its divisors is an integer number (69078912).

Almost surely, 2^3221012100 is an apocalyptic number.

3221012100 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 3221012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973681664).

3221012100 is an abundant number, since it is smaller than the sum of its proper divisors (6726351228).

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

3221012100 is a wasteful number, since it uses less digits than its factorization.

3221012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3221012100 is about 56753.9610952399. The cubic root of 3221012100 is about 1476.8309504292.

Adding to 3221012100 its reverse (12101223), we get a palindrome (3233113323).

The spelling of 3221012100 in words is "three billion, two hundred twenty-one million, twelve thousand, one hundred".