512101101221 has 2 divisors, whose sum is σ = 512101101222. Its totient is φ = 512101101220.

The previous prime is 512101101163. The next prime is 512101101223. The reversal of 512101101221 is 122101101215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488419276900 + 23681824321 = 698870^2 + 153889^2 .

It is a cyclic number.

It is not a de Polignac number, because 512101101221 - 2³⁴ = 494921232037 is a prime.

Together with 512101101223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 512101101221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512101101223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256050550610 + 256050550611.

It is an arithmetic number, because the mean of its divisors is an integer number (256050550611).

Almost surely, 2^512101101221 is an apocalyptic number.

It is an amenable number.

512101101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

512101101221 is an equidigital number, since it uses as much as digits as its factorization.

512101101221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 512101101221 its reverse (122101101215), we get a palindrome (634202202436).

The spelling of 512101101221 in words is "five hundred twelve billion, one hundred one million, one hundred one thousand, two hundred twenty-one".