3213101100 has 144 divisors (see below), whose sum is σ = 10171848960. Its totient is φ = 776620800.

The previous prime is 3213101093. The next prime is 3213101149. The reversal of 3213101100 is 11013123.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282449 + ... + 1284951.

It is an arithmetic number, because the mean of its divisors is an integer number (70637840).

Almost surely, 2^3213101100 is an apocalyptic number.

3213101100 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 3213101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085924480).

3213101100 is an abundant number, since it is smaller than the sum of its proper divisors (6958747860).

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

3213101100 is a wasteful number, since it uses less digits than its factorization.

3213101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3213101100 is about 56684.2226726273. Note that the first 3 decimals coincide. The cubic root of 3213101100 is about 1475.6208972692.

Adding to 3213101100 its reverse (11013123), we get a palindrome (3224114223).

The spelling of 3213101100 in words is "three billion, two hundred thirteen million, one hundred one thousand, one hundred".