212033011003300 has 36 divisors (see below), whose sum is σ = 460112344019860. Its totient is φ = 84813073499520.

The previous prime is 212033011003279. The next prime is 212033011003367. The reversal of 212033011003300 is 3300110330212.

It can be written as a sum of positive squares in 6 ways, for example, as 392256700416 + 211640754302884 = 626304^2 + 14547878^2 .

It is a super-2 number, since 2×212033011003300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87799582 + ... + 90182218.

Almost surely, 2^{212033011003300} is an apocalyptic number.

212033011003300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033011003300 is an abundant number, since it is smaller than the sum of its proper divisors (248079333016560).

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

212033011003300 is a wasteful number, since it uses less digits than its factorization.

212033011003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272560 (or 3272553 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 212033011003300 its reverse (3300110330212), we get a palindrome (215333121333512).

The spelling of 212033011003300 in words is "two hundred twelve trillion, thirty-three billion, eleven million, three thousand, three hundred".