213014214010121 has 24 divisors (see below), whose sum is σ = 221561098684200. Its totient is φ = 204785407180800.

The previous prime is 213014214010063. The next prime is 213014214010331. The reversal of 213014214010121 is 121010412410312.

It can be written as a sum of positive squares in 4 ways, for example, as 113411019590521 + 99603194419600 = 10649461^2 + 9980140^2 .

It is not a de Polignac number, because 213014214010121 - 2³⁰ = 213013140268297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213014214010421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93600425 + ... + 95849193.

It is an arithmetic number, because the mean of its divisors is an integer number (9231712445175).

Almost surely, 2^{213014214010121} is an apocalyptic number.

It is an amenable number.

213014214010121 is a deficient number, since it is larger than the sum of its proper divisors (8546884674079).

213014214010121 is a wasteful number, since it uses less digits than its factorization.

213014214010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249481 (or 2249450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 213014214010121 its reverse (121010412410312), we get a palindrome (334024626420433).

The spelling of 213014214010121 in words is "two hundred thirteen trillion, fourteen billion, two hundred fourteen million, ten thousand, one hundred twenty-one".