212121100010 has 64 divisors (see below), whose sum is σ = 397204106400. Its totient is φ = 81463345152.

The previous prime is 212121100007. The next prime is 212121100021. The reversal of 212121100010 is 10001121212.

212121100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 137925332689 + 74195767321 = 371383^2 + 272389^2 .

It is a super-3 number, since 3×212121100010³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212121099964 and 212121100000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50156576 + ... + 50160804.

Almost surely, 2^212121100010 is an apocalyptic number.

212121100010 is a deficient number, since it is larger than the sum of its proper divisors (185083006390).

212121100010 is a wasteful number, since it uses less digits than its factorization.

212121100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212121100010 its reverse (10001121212), we get a palindrome (222122221222).

The spelling of 212121100010 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred thousand, ten".