4201300431101 has 2 divisors, whose sum is σ = 4201300431102. Its totient is φ = 4201300431100.

The previous prime is 4201300431079. The next prime is 4201300431103. The reversal of 4201300431101 is 1011340031024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2168038325476 + 2033262105625 = 1472426^2 + 1425925^2 .

It is a cyclic number.

It is not a de Polignac number, because 4201300431101 - 2³⁴ = 4184120561917 is a prime.

Together with 4201300431103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4201300431103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100650215550 + 2100650215551.

It is an arithmetic number, because the mean of its divisors is an integer number (2100650215551).

Almost surely, 2^{4201300431101} is an apocalyptic number.

It is an amenable number.

4201300431101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4201300431101 is an equidigital number, since it uses as much as digits as its factorization.

4201300431101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 4201300431101 its reverse (1011340031024), we get a palindrome (5212640462125).

The spelling of 4201300431101 in words is "four trillion, two hundred one billion, three hundred million, four hundred thirty-one thousand, one hundred one".