312001000010101 has 2 divisors, whose sum is σ = 312001000010102. Its totient is φ = 312001000010100.

The previous prime is 312001000010041. The next prime is 312001000010107. The reversal of 312001000010101 is 101010000100213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308472106263876 + 3528893746225 = 17563374^2 + 1878535^2 .

It is an emirp because it is prime and its reverse (101010000100213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312001000010101 - 2¹³ = 312001000001909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312001000010107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156000500005050 + 156000500005051.

It is an arithmetic number, because the mean of its divisors is an integer number (156000500005051).

Almost surely, 2^{312001000010101} is an apocalyptic number.

It is an amenable number.

312001000010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312001000010101 is an equidigital number, since it uses as much as digits as its factorization.

312001000010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 312001000010101 its reverse (101010000100213), we get a palindrome (413011000110314).

The spelling of 312001000010101 in words is "three hundred twelve trillion, one billion, ten thousand, one hundred one".