10213212121 has 8 divisors (see below), whose sum is σ = 11682949824. Its totient is φ = 8746151280.

The previous prime is 10213212089. The next prime is 10213212137. The reversal of 10213212121 is 12121231201.

10213212121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10213212121 - 2⁵ = 10213212089 is a prime.

It is a super-3 number, since 3×10213212121³ (a number of 31 digits) contains 333 as substring.

10213212121 is a modest number, since divided by 212121 gives 10213 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10213212095 and 10213212104.

It is not an unprimeable number, because it can be changed into a prime (10213212421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 661030 + ... + 676303.

It is an arithmetic number, because the mean of its divisors is an integer number (1460368728).

Almost surely, 2^10213212121 is an apocalyptic number.

It is an amenable number.

10213212121 is a deficient number, since it is larger than the sum of its proper divisors (1469737703).

10213212121 is a wasteful number, since it uses less digits than its factorization.

10213212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338431.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10213212121 its reverse (12121231201), we get a palindrome (22334443322).

The spelling of 10213212121 in words is "ten billion, two hundred thirteen million, two hundred twelve thousand, one hundred twenty-one".