312142240102241 has 2 divisors, whose sum is σ = 312142240102242. Its totient is φ = 312142240102240.

The previous prime is 312142240102223. The next prime is 312142240102267. The reversal of 312142240102241 is 142201042241213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277784588930641 + 34357651171600 = 16666871^2 + 5861540^2 .

It is a cyclic number.

It is not a de Polignac number, because 312142240102241 - 2⁶ = 312142240102177 is a prime.

It is not a weakly prime, because it can be changed into another prime (312142240102291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156071120051120 + 156071120051121.

It is an arithmetic number, because the mean of its divisors is an integer number (156071120051121).

Almost surely, 2^{312142240102241} is an apocalyptic number.

It is an amenable number.

312142240102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312142240102241 is an equidigital number, since it uses as much as digits as its factorization.

312142240102241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 312142240102241 its reverse (142201042241213), we get a palindrome (454343282343454).

The spelling of 312142240102241 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred forty million, one hundred two thousand, two hundred forty-one".