10121210013 has 8 divisors (see below), whose sum is σ = 13495941376. Its totient is φ = 6746976000.

The previous prime is 10121210003. The next prime is 10121210039. The reversal of 10121210013 is 31001212101.

10121210013 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 not a de Polignac number, because 10121210013 - 2¹⁸ = 10120947869 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121210003) 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, 73933 + ... + 160338.

It is an arithmetic number, because the mean of its divisors is an integer number (1686992672).

Almost surely, 2^10121210013 is an apocalyptic number.

It is an amenable number.

10121210013 is a deficient number, since it is larger than the sum of its proper divisors (3374731363).

10121210013 is a wasteful number, since it uses less digits than its factorization.

10121210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248675.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10121210013 its reverse (31001212101), we get a palindrome (41122422114).

The spelling of 10121210013 in words is "ten billion, one hundred twenty-one million, two hundred ten thousand, thirteen".