101200210321013 has 2 divisors, whose sum is σ = 101200210321014. Its totient is φ = 101200210321012.

The previous prime is 101200210321003. The next prime is 101200210321033. The reversal of 101200210321013 is 310123012002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91622379953764 + 9577830367249 = 9571958^2 + 3094807^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200210321013 - 2²⁸ = 101199941885557 is a prime.

It is a super-2 number, since 2×101200210321013² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101200210320982 and 101200210321000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200210321003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600105160506 + 50600105160507.

It is an arithmetic number, because the mean of its divisors is an integer number (50600105160507).

Almost surely, 2^{101200210321013} is an apocalyptic number.

It is an amenable number.

101200210321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200210321013 is an equidigital number, since it uses as much as digits as its factorization.

101200210321013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101200210321013 its reverse (310123012002101), we get a palindrome (411323222323114).

The spelling of 101200210321013 in words is "one hundred one trillion, two hundred billion, two hundred ten million, three hundred twenty-one thousand, thirteen".