212010010100 has 108 divisors (see below), whose sum is σ = 535580619084. Its totient is φ = 72633899520.

The previous prime is 212010010099. The next prime is 212010010127. The reversal of 212010010100 is 1010010212.

It can be written as a sum of positive squares in 6 ways, for example, as 6498294544 + 205511715556 = 80612^2 + 453334^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6711944 + ... + 6743456.

Almost surely, 2^212010010100 is an apocalyptic number.

212010010100 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 212010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267790309542).

212010010100 is an abundant number, since it is smaller than the sum of its proper divisors (323570608984).

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

212010010100 is a wasteful number, since it uses less digits than its factorization.

212010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32914 (or 32900 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212010010100 its reverse (1010010212), we get a palindrome (213020020312).

The spelling of 212010010100 in words is "two hundred twelve billion, ten million, ten thousand, one hundred".