101312043221 has 2 divisors, whose sum is σ = 101312043222. Its totient is φ = 101312043220.

The previous prime is 101312043179. The next prime is 101312043223. The reversal of 101312043221 is 122340213101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83252446225 + 18059596996 = 288535^2 + 134386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101312043221 - 2¹⁰ = 101312042197 is a prime.

It is a super-2 number, since 2×101312043221² (a number of 23 digits) contains 22 as substring.

Together with 101312043223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312043193 and 101312043202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101312043223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656021610 + 50656021611.

It is an arithmetic number, because the mean of its divisors is an integer number (50656021611).

Almost surely, 2^101312043221 is an apocalyptic number.

It is an amenable number.

101312043221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312043221 is an equidigital number, since it uses as much as digits as its factorization.

101312043221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101312043221 its reverse (122340213101), we get a palindrome (223652256322).

The spelling of 101312043221 in words is "one hundred one billion, three hundred twelve million, forty-three thousand, two hundred twenty-one".