262201968101 has 2 divisors, whose sum is σ = 262201968102. Its totient is φ = 262201968100.

The previous prime is 262201968089. The next prime is 262201968103. The reversal of 262201968101 is 101869102262.

262201968101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223932436225 + 38269531876 = 473215^2 + 195626^2 .

It is a cyclic number.

It is not a de Polignac number, because 262201968101 - 2¹⁰ = 262201967077 is a prime.

Together with 262201968103, 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 (262201968103) 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, 131100984050 + 131100984051.

It is an arithmetic number, because the mean of its divisors is an integer number (131100984051).

Almost surely, 2^262201968101 is an apocalyptic number.

It is an amenable number.

262201968101 is a deficient number, since it is larger than the sum of its proper divisors (1).

262201968101 is an equidigital number, since it uses as much as digits as its factorization.

262201968101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 262201968101 in words is "two hundred sixty-two billion, two hundred one million, nine hundred sixty-eight thousand, one hundred one".