312142241121001 has 2 divisors, whose sum is σ = 312142241121002. Its totient is φ = 312142241121000.

The previous prime is 312142241120999. The next prime is 312142241121041. The reversal of 312142241121001 is 100121142241213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271539347359401 + 40602893761600 = 16478451^2 + 6372040^2 .

It is a cyclic number.

It is not a de Polignac number, because 312142241121001 - 2¹ = 312142241120999 is a prime.

It is a super-2 number, since 2×312142241121001² (a number of 30 digits) contains 22 as substring.

Together with 312142241120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312142241121041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156071120560500 + 156071120560501.

It is an arithmetic number, because the mean of its divisors is an integer number (156071120560501).

Almost surely, 2^{312142241121001} is an apocalyptic number.

It is an amenable number.

312142241121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

312142241121001 is an equidigital number, since it uses as much as digits as its factorization.

312142241121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 312142241121001 its reverse (100121142241213), we get a palindrome (412263383362214).

The spelling of 312142241121001 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred forty-one million, one hundred twenty-one thousand, one".