212033003100 has 144 divisors (see below), whose sum is σ = 625414970880. Its totient is φ = 55443564800.

The previous prime is 212033003099. The next prime is 212033003113. The reversal of 212033003100 is 1300330212.

It is a super-2 number, since 2×212033003100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212033003100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43102441 + ... + 43107359.

It is an arithmetic number, because the mean of its divisors is an integer number (4343159520).

Almost surely, 2^212033003100 is an apocalyptic number.

212033003100 is a gapful number since it is divisible by the number (20) 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 212033003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312707485440).

212033003100 is an abundant number, since it is smaller than the sum of its proper divisors (413381967780).

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

212033003100 is a wasteful number, since it uses less digits than its factorization.

212033003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 212033003100 its reverse (1300330212), we get a palindrome (213333333312).

The spelling of 212033003100 in words is "two hundred twelve billion, thirty-three million, three thousand, one hundred".