101212125013 has 2 divisors, whose sum is σ = 101212125014. Its totient is φ = 101212125012.

The previous prime is 101212125011. The next prime is 101212125017. The reversal of 101212125013 is 310521212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71579256849 + 29632868164 = 267543^2 + 172142^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212125013 - 2¹ = 101212125011 is a prime.

Together with 101212125011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212125011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606062506 + 50606062507.

It is an arithmetic number, because the mean of its divisors is an integer number (50606062507).

Almost surely, 2^101212125013 is an apocalyptic number.

It is an amenable number.

101212125013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212125013 is an equidigital number, since it uses as much as digits as its factorization.

101212125013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 101212125013 its reverse (310521212101), we get a palindrome (411733337114).

The spelling of 101212125013 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-five thousand, thirteen".