10121201213 has 16 divisors (see below), whose sum is σ = 10336716720. Its totient is φ = 9908352000.

The previous prime is 10121201177. The next prime is 10121201227. The reversal of 10121201213 is 31210212101.

10121201213 is digitally balanced in base 2, 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 8 ways, for example, as 4393436089 + 5727765124 = 66283^2 + 75682^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121201213 - 2²² = 10117006909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120201213) 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 15 ways as a sum of consecutive naturals, for example, 10358981 + ... + 10359957.

It is an arithmetic number, because the mean of its divisors is an integer number (646044795).

Almost surely, 2^10121201213 is an apocalyptic number.

It is an amenable number.

10121201213 is a deficient number, since it is larger than the sum of its proper divisors (215515507).

10121201213 is a wasteful number, since it uses less digits than its factorization.

10121201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10121201213 its reverse (31210212101), we get a palindrome (41331413314).

The spelling of 10121201213 in words is "ten billion, one hundred twenty-one million, two hundred one thousand, two hundred thirteen".