101212313333221 has 2 divisors, whose sum is σ = 101212313333222. Its totient is φ = 101212313333220.

The previous prime is 101212313333189. The next prime is 101212313333267. The reversal of 101212313333221 is 122333313212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61160439224196 + 40051874109025 = 7820514^2 + 6328655^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212313333221 - 2⁵ = 101212313333189 is a prime.

It is a super-2 number, since 2×101212313333221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101212313333221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101212313333821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606156666610 + 50606156666611.

It is an arithmetic number, because the mean of its divisors is an integer number (50606156666611).

Almost surely, 2^{101212313333221} is an apocalyptic number.

It is an amenable number.

101212313333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212313333221 is an equidigital number, since it uses as much as digits as its factorization.

101212313333221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 101212313333221 its reverse (122333313212101), we get a palindrome (223545626545322).

The spelling of 101212313333221 in words is "one hundred one trillion, two hundred twelve billion, three hundred thirteen million, three hundred thirty-three thousand, two hundred twenty-one".