2121210100213 has 16 divisors (see below), whose sum is σ = 2137288965120. Its totient is φ = 2105189056000.

The previous prime is 2121210100183. The next prime is 2121210100367. The reversal of 2121210100213 is 3120010121212.

It is a cyclic number.

It is not a de Polignac number, because 2121210100213 - 2⁵ = 2121210100181 is a prime.

It is a super-3 number, since 3×2121210100213³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121210100613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150958038 + ... + 150972088.

It is an arithmetic number, because the mean of its divisors is an integer number (133580560320).

Almost surely, 2^{2121210100213} is an apocalyptic number.

It is an amenable number.

2121210100213 is a deficient number, since it is larger than the sum of its proper divisors (16078864907).

2121210100213 is a wasteful number, since it uses less digits than its factorization.

2121210100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028.

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

Adding to 2121210100213 its reverse (3120010121212), we get a palindrome (5241220221425).

The spelling of 2121210100213 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, two hundred thirteen".