312202221121121 has 2 divisors, whose sum is σ = 312202221121122. Its totient is φ = 312202221121120.

The previous prime is 312202221121079. The next prime is 312202221121123. The reversal of 312202221121121 is 121121122202213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310005040441600 + 2197180679521 = 17606960^2 + 1482289^2 .

It is a cyclic number.

It is not a de Polignac number, because 312202221121121 - 2¹⁴ = 312202221104737 is a prime.

It is a super-2 number, since 2×312202221121121² (a number of 30 digits) contains 22 as substring.

Together with 312202221121123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312202221121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101110560560 + 156101110560561.

It is an arithmetic number, because the mean of its divisors is an integer number (156101110560561).

Almost surely, 2^{312202221121121} is an apocalyptic number.

It is an amenable number.

312202221121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312202221121121 is an equidigital number, since it uses as much as digits as its factorization.

312202221121121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 312202221121121 its reverse (121121122202213), we get a palindrome (433323343323334).

The spelling of 312202221121121 in words is "three hundred twelve trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".